46656564 has 12 divisors (see below), whose sum is σ = 108865344. Its totient is φ = 15552184.

The previous prime is 46656557. The next prime is 46656587. The reversal of 46656564 is 46565664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1944012 + ... + 1944035.

It is an arithmetic number, because the mean of its divisors is an integer number (9072112).

Almost surely, 2^46656564 is an apocalyptic number.

It is an amenable number.

46656564 is an abundant number, since it is smaller than the sum of its proper divisors (62208780).

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

46656564 is a wasteful number, since it uses less digits than its factorization.

46656564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888054 (or 3888052 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 46656564 is about 6830.5610311306. The cubic root of 46656564 is about 360.0014506114.

The spelling of 46656564 in words is "forty-six million, six hundred fifty-six thousand, five hundred sixty-four".