#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <cstdint>
#include <cstring>
#include <ctime>
#include <deque>
#include <iomanip>
#include <iostream>
#include <iterator>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <unordered_set>
template <typename T>
std::vector<T> get_divisors(T x, bool sorted = true) {
  std::vector<T> res;
  for (T i = 1; i <= x / i; i++)
    if (x % i == 0) {
      res.push_back(i);
      if (i != x / i) res.push_back(x / i);
    }
  if (sorted) std::sort(res.begin(), res.end());
  return res;
}

template <int mod>
struct ModInt {
  int x;
  ModInt() : x(0) {}
  ModInt(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
  ModInt &operator+=(const ModInt &p) {
    if ((x += p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt &operator-=(const ModInt &p) {
    if ((x += mod - p.x) >= mod) x -= mod;
    return *this;
  }
  ModInt &operator*=(const ModInt &p) {
    x = (int)(1LL * x * p.x % mod);
    return *this;
  }
  ModInt &operator/=(const ModInt &p) {
    *this *= p.inverse();
    return *this;
  }
  ModInt &operator^=(long long p) {  // quick_pow here:3
    ModInt res = 1;
    for (; p; p >>= 1) {
      if (p & 1) res *= *this;
      *this *= *this;
    }
    return *this = res;
  }
  ModInt operator-() const { return ModInt(-x); }
  ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
  ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
  ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
  ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
  ModInt operator^(long long p) const { return ModInt(*this) ^= p; }
  bool operator==(const ModInt &p) const { return x == p.x; }
  bool operator!=(const ModInt &p) const { return x != p.x; }
  explicit operator int() const { return x; }  // added by QCFium
  ModInt operator=(const int p) {
    x = p;
    return ModInt(*this);
  }  // added by QCFium
  ModInt inverse() const {
    int a = x, b = mod, u = 1, v = 0, t;
    while (b > 0) {
      t = a / b;
      a -= t * b;
      std::swap(a, b);
      u -= t * v;
      std::swap(u, v);
    }
    return ModInt(u);
  }
  friend std::ostream &operator<<(std::ostream &os, const ModInt<mod> &p) {
    return os << p.x;
  }
  friend std::istream &operator>>(std::istream &is, ModInt<mod> &a) {
    long long x;
    is >> x;
    a = ModInt<mod>(x);
    return (is);
  }
};
using mint = ModInt<998244353>;
const int MOD = 998244353;
struct MComb {
  std::vector<mint> fact;
  std::vector<mint> inversed;
  MComb(int n) {  // O(n+log(mod))
    fact = std::vector<mint>(n + 1, 1);
    for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * mint(i);
    inversed = std::vector<mint>(n + 1);
    inversed[n] = fact[n] ^ (MOD - 2);
    for (int i = n - 1; i >= 0; i--)
      inversed[i] = inversed[i + 1] * mint(i + 1);
  }
  mint ncr(int n, int r) {
    if (n < r) return 0;
    return (fact[n] * inversed[r] * inversed[n - r]);
  }
  mint npr(int n, int r) { return (fact[n] * inversed[n - r]); }
  mint nhr(int n, int r) {
    assert(n + r - 1 < (int)fact.size());
    return ncr(n + r - 1, r);
  }
};

mint ncr(int n, int r) {
  mint res = 1;
  for (int i = n - r + 1; i <= n; i++) res *= i;
  for (int i = 1; i <= r; i++) res /= i;
  return res;
}
std::pair<std::vector<long long>, std::vector<int>> get_prime_factor_with_kinds(
    long long n) {
  std::vector<long long> prime_factors;
  std::vector<int> cnt;  // number of i_th factor
  for (long long i = 2; i <= sqrt(n); i++) {
    if (n % i == 0) {
      prime_factors.push_back(i);
      cnt.push_back(0);
      while (n % i == 0) n /= i, cnt[(int)prime_factors.size() - 1]++;
    }
  }
  if (n > 1) prime_factors.push_back(n), cnt.push_back(1);
  assert(prime_factors.size() == cnt.size());
  return {prime_factors, cnt};
}
void solve() {
  long long n, m;
  std::cin >> n >> m;
  auto [p, cnt] = get_prime_factor_with_kinds(m);
  std::unordered_map<long long, int> mp;
  for (size_t i = 0; i < p.size(); i += 1) {
    mp[p[i]] += cnt[i];
  }
  mint ans = 1;
  for (auto [k, v] : mp) {
    mint base = v + 1;
    ans *= ((base ^ n) - ((base - 1) ^ n));
  }
  std::cout << ans << '\n';
}
int main() {
  std::ios_base::sync_with_stdio(false);
  std::cin.tie(nullptr);

  int t = 1;
  // std::cin >> t;
  while (t--) {
    solve();
  }
}