386180165664 has 36 divisors (see below), whose sum is σ = 1098199846926. Its totient is φ = 128726721792.

The previous prime is 386180165629. The next prime is 386180165681. The reversal of 386180165664 is 466561081683.

386180165664 is a `hidden beast` number, since 3 + 8 + 61 + 8 + 0 + 16 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 341397141264 + 44783024400 = 584292^2 + 211620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 386180165664.

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, 670451389 + ... + 670451964.

Almost surely, 2^386180165664 is an apocalyptic number.

It is an amenable number.

386180165664 is an abundant number, since it is smaller than the sum of its proper divisors (712019681262).

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

386180165664 is a wasteful number, since it uses less digits than its factorization.

386180165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340903369 (or 1340903358 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 386180165664 in words is "three hundred eighty-six billion, one hundred eighty million, one hundred sixty-five thousand, six hundred sixty-four".