46164100536000 has 168 divisors, whose sum is σ = 165136681891584. Its totient is φ = 12310426790400.

The previous prime is 46164100535939. The next prime is 46164100536013. The reversal of 46164100536000 is 63500146164.

It is a happy number.

46164100536000 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 41 + 0 + 0 + 5 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×46164100536000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320512032 + ... + 320656031.

Almost surely, 2^{46164100536000} is an apocalyptic number.

46164100536000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46164100536000 is an abundant number, since it is smaller than the sum of its proper divisors (118972581355584).

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

46164100536000 is a wasteful number, since it uses less digits than its factorization.

46164100536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641168096 (or 641168073 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46164100536000 in words is "forty-six trillion, one hundred sixty-four billion, one hundred million, five hundred thirty-six thousand".