390564937152 has 168 divisors, whose sum is σ = 1258015877664. Its totient is φ = 114948827136.

The previous prime is 390564937151. The next prime is 390564937177. The reversal of 390564937152 is 251739465093.

390564937152 is a `hidden beast` number, since 3 + 9 + 0 + 564 + 9 + 3 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×390564937152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390564937151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961663 + ... + 1306110.

It is an arithmetic number, because the mean of its divisors is an integer number (7488189748).

Almost surely, 2^390564937152 is an apocalyptic number.

390564937152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

390564937152 is an abundant number, since it is smaller than the sum of its proper divisors (867450940512).

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

390564937152 is a wasteful number, since it uses less digits than its factorization.

390564937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267827 (or 2267814 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 390564937152 in words is "three hundred ninety billion, five hundred sixty-four million, nine hundred thirty-seven thousand, one hundred fifty-two".