31827930854112 has 240 divisors, whose sum is σ = 95632713348480. Its totient is φ = 10381951844352.

The previous prime is 31827930854047. The next prime is 31827930854113. The reversal of 31827930854112 is 21145803972813.

31827930854112 is a `hidden beast` number, since 3 + 1 + 8 + 2 + 7 + 93 + 0 + 8 + 541 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31827930854113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21665553 + ... + 23087919.

It is an arithmetic number, because the mean of its divisors is an integer number (398469638952).

Almost surely, 2^{31827930854112} is an apocalyptic number.

31827930854112 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 31827930854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47816356674240).

31827930854112 is an abundant number, since it is smaller than the sum of its proper divisors (63804782494368).

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

31827930854112 is a wasteful number, since it uses less digits than its factorization.

31827930854112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422575 (or 1422558 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 31827930854112 in words is "thirty-one trillion, eight hundred twenty-seven billion, nine hundred thirty million, eight hundred fifty-four thousand, one hundred twelve".