47656416564 has 18 divisors (see below), whose sum is σ = 120464830850. Its totient is φ = 15885472176.

The previous prime is 47656416517. The next prime is 47656416631. The reversal of 47656416564 is 46561465674.

47656416564 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 64 + 16 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30005168400 + 17651248164 = 173220^2 + 132858^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×47656416564² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 47656416564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 661894639 + ... + 661894710.

Almost surely, 2^47656416564 is an apocalyptic number.

It is an amenable number.

47656416564 is an abundant number, since it is smaller than the sum of its proper divisors (72808414286).

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

47656416564 is a wasteful number, since it uses less digits than its factorization.

47656416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323789359 (or 1323789354 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 47656416564 in words is "forty-seven billion, six hundred fifty-six million, four hundred sixteen thousand, five hundred sixty-four".