46556616395520 has 1080 divisors, whose sum is σ = 211403318143248. Its totient is φ = 9674090496000.

The previous prime is 46556616395477. The next prime is 46556616395521. The reversal of 46556616395520 is 2559361665564.

46556616395520 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 6 + 6 + 16 + 3 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46556616395521) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55466970 + ... + 56300070.

Almost surely, 2^{46556616395520} is an apocalyptic number.

46556616395520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46556616395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105701659071624).

46556616395520 is an abundant number, since it is smaller than the sum of its proper divisors (164846701747728).

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

46556616395520 is a wasteful number, since it uses less digits than its factorization.

46556616395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833159 (or 833129 counting only the distinct ones).

The product of its (nonzero) digits is 174960000, while the sum is 63.

The spelling of 46556616395520 in words is "forty-six trillion, five hundred fifty-six billion, six hundred sixteen million, three hundred ninety-five thousand, five hundred twenty".