364404316401 has 20 divisors (see below), whose sum is σ = 545585915952. Its totient is φ = 242387798328.

The previous prime is 364404316373. The next prime is 364404316411. The reversal of 364404316401 is 104613404463.

364404316401 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 0 + 4 + 3 + 1 + 640 + 1 = 666.

It is not a de Polignac number, because 364404316401 - 2⁶ = 364404316337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (364404316411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5041791 + ... + 5113556.

Almost surely, 2^364404316401 is an apocalyptic number.

It is an amenable number.

364404316401 is a deficient number, since it is larger than the sum of its proper divisors (181181599551).

364404316401 is a wasteful number, since it uses less digits than its factorization.

364404316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10155802 (or 10155793 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 364404316401 in words is "three hundred sixty-four billion, four hundred four million, three hundred sixteen thousand, four hundred one".