#include <bits/stdc++.h>
using namespace std;
#include <atcoder/all>
using namespace atcoder;
#define rep(i, n) for(int i=0;i<(n);++i)
#define rep1(i, n) for(int i=1;i<=(n);i++)
#define ll long long
using mint = modint998244353;
using P = pair<ll,ll>;
using lb = long double;
using T = tuple<ll, ll, ll>;
#ifdef LOCAL
#  include <debug_print.hpp>
#  define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#  define dbg(...) (static_cast<void>(0))
#endif

int main()
{
    int n, m;
    cin >> n >> m;
    vector<pair<int, int>> ps;
    for(int i=2;i*i<=m;i++){
        if(m%i) continue;
        ps.emplace_back(i,0);
        while(m%i==0){
            ps.back().second++;
            m/=i;
        }
    }
    if(m!=0) ps.emplace_back(m,1);
    mint ans = 0;
    int N = ps.size();
    rep(i,1<<N){
        mint now = 1;
        rep(j,N) {
            if(i>>j&1) {
                now *= ps[j].second;
            }
            else{
                now *= ps[j].second+1;
            }
        }
        if(__builtin_popcount(i)%2==0) ans += now.pow(n);
        else ans -= now.pow(n);
    }
    cout << ans.val() << endl;
    return 0;
}