46116120960 has 512 divisors, whose sum is σ = 201025843200. Its totient is φ = 9729662976.

The previous prime is 46116120937. The next prime is 46116120991. The reversal of 46116120960 is 6902161164.

46116120960 is a `hidden beast` number, since 461 + 16 + 120 + 9 + 60 = 666.

It is a super-2 number, since 2×46116120960² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557817 + ... + 1587143.

It is an arithmetic number, because the mean of its divisors is an integer number (392628600).

Almost surely, 2^46116120960 is an apocalyptic number.

46116120960 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 46116120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100512921600).

46116120960 is an abundant number, since it is smaller than the sum of its proper divisors (154909722240).

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

46116120960 is a wasteful number, since it uses less digits than its factorization.

46116120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29375 (or 29357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 46116120960 in words is "forty-six billion, one hundred sixteen million, one hundred twenty thousand, nine hundred sixty".