Language: C++

#pragma GCC optimize ("O3")
#include "bits/stdc++.h"

using namespace std;
using ll = long long int;

#define debugos cout
#define debug(v) {printf("L%d %s > ",__LINE__,#v);debugos<<(v)<<endl;}
#define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:(v)){debugos<<e<<" ";}debugos<<endl;}
#define debuga(m,w) {printf("L%d %s > ",__LINE__,#m);for(int x=0;x<(w);x++){debugos<<(m)[x]<<" ";}debugos<<endl;}
#define debugaa(m,h,w) {printf("L%d %s >\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){debugos<<(m)[y][x]<<" ";}debugos<<endl;}}
#define ALL(v) (v).begin(),(v).end()
#define repeat(cnt,l) for(remove_reference<remove_const<decltype(l)>::type>::type cnt=0;(cnt)<(l);++(cnt))
#define rrepeat(cnt,l) for(auto cnt=(l)-1;0<=(cnt);--(cnt))
#define iterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);++(cnt))
#define diterate(cnt,b,e) for(auto cnt=(b);(cnt)!=(e);--(cnt))
const ll MD = 1000000007ll; const long double PI = 3.1415926535897932384626433832795L;
inline void assert_call(bool assertion, function<void()> f) { if (!assertion) { cerr << "assertion fault:" << endl; f(); abort(); } }
template<typename T1, typename T2> inline ostream& operator <<(ostream &o, const pair<T1, T2> p) { o << '(' << p.first << ':' << p.second << ')'; return o; }
template<typename Vec> inline ostream& _ostream_vecprint(ostream& os, const Vec& a) {
    os << '['; for (const auto& e : a) os << ' ' << e << ' '; os << ']'; return os;
}
template<typename T> inline ostream& operator<<(ostream& o, const vector<T>& v) { return _ostream_vecprint(o, v); }
template<typename T, size_t S> inline ostream& operator<<(ostream& o, const array<T, S>& v) { return _ostream_vecprint(o, v); }
template<typename T> inline T& maxset(T& to, const T& val) { return to = max(to, val); }
template<typename T> inline T& minset(T& to, const T& val) { return to = min(to, val); }
void bye(string s, int code = 0) { cout << s << endl; exit(code); }
mt19937_64 randdev(8901016);
template<typename T> inline T rand(T l, T h) { return uniform_int_distribution<T>(l, h)(randdev); }
template<> inline double rand<double>(double l, double h) { return uniform_real_distribution<double>(l, h)(randdev); }
template<> inline float rand<float>(float l, float h) { return uniform_real_distribution<float>(l, h)(randdev); }

#if defined(_WIN32) || defined(_WIN64)
#define getchar_unlocked _getchar_nolock
#define putchar_unlocked _putchar_nolock
#elif defined(__GNUC__)
#else
#define getchar_unlocked getchar
#define putchar_unlocked putchar
#endif
namespace {
#define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E)
    class MaiScanner {
    public:
        template<typename T> void input_integer(T& var) noexcept {
            var = 0; T sign = 1;
            int cc = getchar_unlocked();
            for (; cc < '0' || '9' < cc; cc = getchar_unlocked())
                if (cc == '-') sign = -1;
            for (; '0' <= cc && cc <= '9'; cc = getchar_unlocked())
                var = (var << 3) + (var << 1) + cc - '0';
            var = var * sign;
        }
        inline int c() noexcept { return getchar_unlocked(); }
        inline MaiScanner& operator>>(int& var) noexcept { input_integer<int>(var); return *this; }
        inline MaiScanner& operator>>(long long& var) noexcept { input_integer<long long>(var); return *this; }
        inline MaiScanner& operator>>(string& var) {
            int cc = getchar_unlocked();
            for (; !isvisiblechar(cc); cc = getchar_unlocked());
            for (; isvisiblechar(cc); cc = getchar_unlocked())
                var.push_back(cc);
            return *this;
        }
        template<typename IT> void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; }
    };
    class MaiPrinter {
    public:
        template<typename T>
        void output_integer(T var) noexcept {
            if (var == 0) { putchar_unlocked('0'); return; }
            if (var < 0)
                putchar_unlocked('-'),
                var = -var;
            char stack[32]; int stack_p = 0;
            while (var)
                stack[stack_p++] = '0' + (var % 10),
                var /= 10;
            while (stack_p)
                putchar_unlocked(stack[--stack_p]);
        }
        inline MaiPrinter& operator<<(char c) noexcept { putchar_unlocked(c); return *this; }
        inline MaiPrinter& operator<<(int var) noexcept { output_integer<int>(var); return *this; }
        inline MaiPrinter& operator<<(long long var) noexcept { output_integer<long long>(var); return *this; }
        inline MaiPrinter& operator<<(char* str_p) noexcept { while (*str_p) putchar_unlocked(*(str_p++)); return *this; }
        inline MaiPrinter& operator<<(const string& str) {
            const char* p = str.c_str();
            const char* l = p + str.size();
            while (p < l) putchar_unlocked(*p++);
            return *this;
        }
        template<typename IT> void join(IT begin, IT end, char sep = ' ') { for (bool b = 0; begin != end; ++begin, b = 1) b ? *this << sep << *begin : *this << *begin; }
    };
}
MaiScanner scanner;
MaiPrinter printer;

// MEMO : 逆元...pow_md(n,MOD-2,MOD)
template<typename T> T pow_md(T x, T p, T mod = MD) {
    T y = 1; x = x % mod;
    for (; 0 < p; p >>= 1) {
        if (p & 1) y = y * x % mod;
        x = x * x % mod;
    }
    return y;
}
template<typename T> T fact_md(T n, T mod = MD) {
    T p = 1; for (; 1 < n; p = (p*n--) % mod); return p;
}
template<typename T> T nPr_md(T n, T r, T mod = MD) {
    T p = 1; for (r = n - r; r < n; p = (p*n--) % mod); return p;
}
template<typename T> T nCr_md(T n, T r, T mod = MD) {
    if (n < 0 || r < 0 || n < r) return 0;
    if (n / 2 < r) return nCr_md(n, n - r, mod);
    T num = 1, den = 1;
    for (; 0 < r; --r, --n)
        num = num * n % mod, den = den * r % mod;
    return num * pow_md(den, mod - 2, mod) % mod;
}
template<typename T> inline T nHr_md(T n, T r, T mod = MD) {
    return nCr_md(n - 1 + r, n - 1, mod);
}

template<typename T> T nCr(T n, T r) {
    if (n / 2 < r) return nCr(n, n - r);
    T p = 1; for (T t = 1; t <= r; ++t) p = p * (n - t + 1) / t;
    return p;
}
template<typename T> inline T nHr(T n, T r, T mod = MD) {
    return nCr(n - 1 + r, n - 1, mod);
}


template<typename ARRAY>
void prime_division(ARRAY& result, ll _num) {
    ll num = _num;
    while (num % 2 == 0) {
        num /= 2;
        ++result[2];
    }
    for (ll i = 3; 1 < num && i <= _num; i += 2) {
        while (num % i == 0) {
            num /= i;
            ++result[i];
        }
    }
}


int N, M;


int main() {

    scanner >> N >> M;

    map<int, int> pr; prime_division(pr, M);

    ll den = 1, denrev;
    for (ll r = (N - 1); 0 < r; --r)
        den = den * r % mod;
    denrev = pow_md(den, mod - 2, mod);
    
        
    ll ans = 1;
    for (auto p : pr) {
        ll num = 1;
        for (ll n = N - 1 + p.second, r = (N - 1); 0 < r; --r, --n)
            num = num * n % mod;
        ans *= (num*den) % mod;
        ans %= MD;
    }

    cout << ans << endl;


    return 0;
}

Compiler output:
a.cc: In function 'int main()':
a.cc:161:25: error: 'mod' was not declared in this scope; did you mean 'modf'?
  161 |         den = den * r % mod;
      |                         ^~~
      |                         modf
a.cc:162:26: error: 'mod' was not declared in this scope; did you mean 'modf'?
  162 |     denrev = pow_md(den, mod - 2, mod);
      |                          ^~~
      |                          modf