#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

#define rd(v) long v=0;{int _c;while(_c=*rp++-48,_c>=0)v=v*10+_c;}

#define wt(v) {long _z=v;do*--wp=_z%10+48;while(_z/=10);}


#define SIEVE_N 1000001
char sieve[SIEVE_N];
void mksieve(){
	for(long i=2;i<SIEVE_N;++i){
		if(sieve[i]==0){
			for(long j=i*i;j<SIEVE_N;j+=i){
				sieve[j]=1;
			}
		}
	}
}

#define MD 998244353

main(){
	mksieve();
	
	char rbuf[64];
	read(0,rbuf,sizeof rbuf);
	char*rp=rbuf;
	rd(n);
	
	long res=1;

	for(long p=2;p<n;++p){
		if(!sieve[p]){
			if(n%p==0){
				long maxc=0;
				long j=1;
				long c0=0;
				while(j<n){
					long c=c0++;
					long nn=n-j;
					while(nn%p==0) nn/=p,++c;
					maxc=maxc>=c?maxc:c;
					j*=p;
				}
				while(maxc--) res=res*p%MD;
			}else{
				long j=1;
				while(j*=p,j<n) res=res*p%MD;
			}
		}
	}

	char wbuf[64],*wp=wbuf+sizeof wbuf;
	wt(res);
	write(1,wp,wbuf+sizeof wbuf-wp);
	_exit(0);
}