46564446564 has 48 divisors (see below), whose sum is σ = 127823976000. Its totient is φ = 14608453248.

The previous prime is 46564446541. The next prime is 46564446583.

46564446564 is a `hidden beast` number, since 4 + 65 + 64 + 4 + 465 + 64 = 666.

46564446564 is nontrivially palindromic in base 10.

46564446564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46564446564² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46564446564.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12679114 + ... + 12682785.

It is an arithmetic number, because the mean of its divisors is an integer number (2662999500).

Almost surely, 2^46564446564 is an apocalyptic number.

It is an amenable number.

46564446564 is an abundant number, since it is smaller than the sum of its proper divisors (81259529436).

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

46564446564 is a wasteful number, since it uses less digits than its factorization.

46564446564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25361929 (or 25361921 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 46564446564 in words is "forty-six billion, five hundred sixty-four million, four hundred forty-six thousand, five hundred sixty-four".