using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); } static void Solve() { var c = NList; var (n, m) = (c[0], c[1]); var mod = 998_244_353; var ans = 1L; foreach (var kv in PDiv(m)) { ans = (Exp(kv.Value + 1, n, mod) % mod - Exp(kv.Value, n, mod) + mod) % mod * ans % mod; } WriteLine(ans); } static Dictionary PDiv(long n) { var dic = new Dictionary(); var tmp = n; while (tmp % 2 == 0) { tmp /= 2; if (dic.ContainsKey(2)) ++dic[2]; else dic.Add(2, 1); } for (var p = 3L; p * p <= n; p += 2) { while (tmp % p == 0) { tmp /= p; if (dic.ContainsKey(p)) ++dic[p]; else dic.Add(p, 1); } if (tmp == 1) break; } if (tmp > 1) dic.Add(tmp, 1); return dic; } static long Exp(long n, long p, int mod) { long _n = n % mod; var _p = p; var result = 1L; if ((_p & 1) == 1) result *= _n; while (_p > 0) { _n = _n * _n % mod; _p >>= 1; if ((_p & 1) == 1) result = result * _n % mod; } return result; } }