31457360444160 has 2304 divisors, whose sum is σ = 126835269120000. Its totient is φ = 6627663544320.

The previous prime is 31457360444149. The next prime is 31457360444173. The reversal of 31457360444160 is 6144406375413.

It is a happy number.

It is a super-2 number, since 2×31457360444160² (a number of 28 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 255 ways as a sum of consecutive naturals, for example, 83000950851 + ... + 83000951229.

It is an arithmetic number, because the mean of its divisors is an integer number (55050030000).

Almost surely, 2^{31457360444160} is an apocalyptic number.

31457360444160 is a gapful number since it is divisible by the number (30) 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 31457360444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63417634560000).

31457360444160 is an abundant number, since it is smaller than the sum of its proper divisors (95377908675840).

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

31457360444160 is a wasteful number, since it uses less digits than its factorization.

31457360444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 31457360444160 in words is "thirty-one trillion, four hundred fifty-seven billion, three hundred sixty million, four hundred forty-four thousand, one hundred sixty".