31345281504 has 288 divisors, whose sum is σ = 96680394720. Its totient is φ = 9977167872.

The previous prime is 31345281469. The next prime is 31345281523. The reversal of 31345281504 is 40518254313.

31345281504 is a `hidden beast` number, since 31 + 3 + 45 + 2 + 81 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21873172 + ... + 21874604.

It is an arithmetic number, because the mean of its divisors is an integer number (335695815).

Almost surely, 2^31345281504 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 31345281504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340197360).

31345281504 is an abundant number, since it is smaller than the sum of its proper divisors (65335113216).

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

31345281504 is a wasteful number, since it uses less digits than its factorization.

31345281504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 31345281504 in words is "thirty-one billion, three hundred forty-five million, two hundred eighty-one thousand, five hundred four".