#include "bits/stdc++.h" #include "atcoder/all" using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; //const bool debug = false; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } //篩 vector sieve(int n) { vectora(n, true); a[0] = false; a[1] = false; for (int i = 2; i * i < n; ++i) { if (!a[i])continue; for (int j = 2 * i; j < n; j += i) a[j] = false; } vectorp; rep(i, n)if (a[i])p.push_back(i); return p; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; auto p = sieve(n); //cout << p.size() << endl; mint ans = 1; rep(i, p.size()) { if (0 != n % p[i]) { int x = 0; long long y = 1; while (y *p[i] < n) { y *= p[i]; x++; } //cout << p[i] << " " << x << endl; rep(j, x) ans *= p[i]; } else { int x = 0; int ncopy = n; while (0 == ncopy % p[i]) { x++; ncopy /= p[i]; } if (1 == ncopy) x = 2 * x - 2; else { x = 2 * x; long long y = 1; while (y * p[i] < ncopy) { y *= p[i]; x++; } } //cout << p[i] << " " << x << endl; rep(j, x) ans *= p[i]; } } cout << ans.val() << endl; return 0; }