46521168960 has 896 divisors, whose sum is σ = 185817784320. Its totient is φ = 9628286976.

The previous prime is 46521168949. The next prime is 46521168977. The reversal of 46521168960 is 6986112564.

It is a super-2 number, since 2×46521168960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 434777227 + ... + 434777333.

It is an arithmetic number, because the mean of its divisors is an integer number (207385920).

Almost surely, 2^46521168960 is an apocalyptic number.

46521168960 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 46521168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92908892160).

46521168960 is an abundant number, since it is smaller than the sum of its proper divisors (139296615360).

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

46521168960 is a wasteful number, since it uses less digits than its factorization.

46521168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 46521168960 in words is "forty-six billion, five hundred twenty-one million, one hundred sixty-eight thousand, nine hundred sixty".