46656865664 has 16 divisors (see below), whose sum is σ = 92949224820. Its totient is φ = 23328432768.

The previous prime is 46656865657. The next prime is 46656865693.

It is a happy number.

46656865664 is nontrivially palindromic in base 10.

46656865664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×46656865664² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46656865597 and 46656865606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 182253254 + ... + 182253509.

Almost surely, 2^46656865664 is an apocalyptic number.

It is an amenable number.

46656865664 is a deficient number, since it is larger than the sum of its proper divisors (46292359156).

46656865664 is an equidigital number, since it uses as much as digits as its factorization.

46656865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364506777 (or 364506765 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 62.

The spelling of 46656865664 in words is "forty-six billion, six hundred fifty-six million, eight hundred sixty-five thousand, six hundred sixty-four".