MOD = 998244353 from math import comb from collections import defaultdict,Counter def prime_factorize(n): a = [] while n % 2 == 0: a.append(2) n //= 2 f = 3 while f * f <= n: if n % f == 0: a.append(f) n //= f else: f += 2 if n != 1: a.append(n) return a def n_fact(N): c = Counter(prime_factorize(N)) return c N, M = map(int, input().split()) dic = defaultdict(int) for k, v in n_fact(M).items(): dic[v] += 1 ans = 1 for k, v in dic.items(): tmp = pow(k+1, N, MOD) - pow(k, N, MOD) ans *= pow(tmp, v, MOD) ans %= MOD print(ans)