46540864656 has 640 divisors, whose sum is σ = 162349608960. Its totient is φ = 12737088000.

The previous prime is 46540864649. The next prime is 46540864679. The reversal of 46540864656 is 65646804564.

46540864656 is a `hidden beast` number, since 4 + 6 + 540 + 8 + 6 + 46 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 355273711 + ... + 355273841.

It is an arithmetic number, because the mean of its divisors is an integer number (253671264).

Almost surely, 2^46540864656 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 46540864656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81174804480).

46540864656 is an abundant number, since it is smaller than the sum of its proper divisors (115808744304).

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

46540864656 is a wasteful number, since it uses less digits than its factorization.

46540864656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 46540864656 in words is "forty-six billion, five hundred forty million, eight hundred sixty-four thousand, six hundred fifty-six".