31811425519104 has 1440 divisors, whose sum is σ = 123406392485376. Its totient is φ = 8086104391680.

The previous prime is 31811425519051. The next prime is 31811425519147. The reversal of 31811425519104 is 40191552411813.

31811425519104 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 1 + 4 + 2 + 551 + 91 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31811425519104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3151825482 + ... + 3151835574.

Almost surely, 2^{31811425519104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31811425519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61703196242688).

31811425519104 is an abundant number, since it is smaller than the sum of its proper divisors (91594966966272).

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

31811425519104 is a wasteful number, since it uses less digits than its factorization.

31811425519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10198 (or 10163 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 31811425519104 in words is "thirty-one trillion, eight hundred eleven billion, four hundred twenty-five million, five hundred nineteen thousand, one hundred four".