466931008656 has 240 divisors, whose sum is σ = 1546534229760. Its totient is φ = 128675312640.

The previous prime is 466931008613. The next prime is 466931008723. The reversal of 466931008656 is 656800139664.

466931008656 is a `hidden beast` number, since 466 + 93 + 10 + 0 + 86 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30130446 + ... + 30145938.

It is an arithmetic number, because the mean of its divisors is an integer number (6443892624).

Almost surely, 2^466931008656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466931008656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773267114880).

466931008656 is an abundant number, since it is smaller than the sum of its proper divisors (1079603221104).

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

466931008656 is a wasteful number, since it uses less digits than its factorization.

466931008656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16574 (or 16565 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 466931008656 in words is "four hundred sixty-six billion, nine hundred thirty-one million, eight thousand, six hundred fifty-six".