31137160992 has 192 divisors, whose sum is σ = 94486855680. Its totient is φ = 8794469376.

The previous prime is 31137160979. The next prime is 31137160997. The reversal of 31137160992 is 29906173113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (31137160997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33881109 + ... + 33882027.

It is an arithmetic number, because the mean of its divisors is an integer number (492119040).

Almost surely, 2^31137160992 is an apocalyptic number.

31137160992 is a gapful number since it is divisible by the number (32) 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 31137160992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47243427840).

31137160992 is an abundant number, since it is smaller than the sum of its proper divisors (63349694688).

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

31137160992 is a wasteful number, since it uses less digits than its factorization.

31137160992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 31137160992 in words is "thirty-one billion, one hundred thirty-seven million, one hundred sixty thousand, nine hundred ninety-two".