46656644665664 has 56 divisors (see below), whose sum is σ = 101002528475616. Its totient is φ = 21207251520000.

The previous prime is 46656644665651. The next prime is 46656644665739.

46656644665664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46656644665591 and 46656644665600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50867759 + ... + 51776849.

Almost surely, 2^{46656644665664} is an apocalyptic number.

46656644665664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46656644665664 is an abundant number, since it is smaller than the sum of its proper divisors (54345883809952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46656644665664 is a wasteful number, since it uses less digits than its factorization.

46656644665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982015 (or 982005 counting only the distinct ones).

The product of its digits is 10749542400, while the sum is 74.

The spelling of 46656644665664 in words is "forty-six trillion, six hundred fifty-six billion, six hundred forty-four million, six hundred sixty-five thousand, six hundred sixty-four".