31163190912 has 768 divisors, whose sum is σ = 114057216000. Its totient is φ = 8449588224.

The previous prime is 31163190901. The next prime is 31163190941. The reversal of 31163190912 is 21909136113.

31163190912 is a `hidden beast` number, since 3 + 1 + 1 + 631 + 9 + 0 + 9 + 12 = 666.

It is a super-2 number, since 2×31163190912² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 245379393 + ... + 245379519.

It is an arithmetic number, because the mean of its divisors is an integer number (148512000).

Almost surely, 2^31163190912 is an apocalyptic number.

31163190912 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 31163190912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57028608000).

31163190912 is an abundant number, since it is smaller than the sum of its proper divisors (82894025088).

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

31163190912 is an equidigital number, since it uses as much as digits as its factorization.

31163190912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 31163190912 in words is "thirty-one billion, one hundred sixty-three million, one hundred ninety thousand, nine hundred twelve".