31142677428192 has 192 divisors, whose sum is σ = 90906007933440. Its totient is φ = 9256044134400.

The previous prime is 31142677428179. The next prime is 31142677428193. The reversal of 31142677428192 is 29182477624113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31142677428193) 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, 13394284 + ... + 15546452.

It is an arithmetic number, because the mean of its divisors is an integer number (473468791320).

Almost surely, 2^{31142677428192} is an apocalyptic number.

31142677428192 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 31142677428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45453003966720).

31142677428192 is an abundant number, since it is smaller than the sum of its proper divisors (59763330505248).

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

31142677428192 is a wasteful number, since it uses less digits than its factorization.

31142677428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152457 (or 2152449 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The spelling of 31142677428192 in words is "thirty-one trillion, one hundred forty-two billion, six hundred seventy-seven million, four hundred twenty-eight thousand, one hundred ninety-two".