46031920892160 has 1152 divisors, whose sum is σ = 179239151960064. Its totient is φ = 9828426055680.

The previous prime is 46031920892141. The next prime is 46031920892201. The reversal of 46031920892160 is 6129802913064.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 56759458155 + ... + 56759458965.

It is an arithmetic number, because the mean of its divisors is an integer number (155589541632).

Almost surely, 2^{46031920892160} is an apocalyptic number.

46031920892160 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 46031920892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89619575980032).

46031920892160 is an abundant number, since it is smaller than the sum of its proper divisors (133207231067904).

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

46031920892160 is a wasteful number, since it uses less digits than its factorization.

46031920892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 46031920892160 in words is "forty-six trillion, thirty-one billion, nine hundred twenty million, eight hundred ninety-two thousand, one hundred sixty".