31145457504 has 96 divisors (see below), whose sum is σ = 94149893376. Its totient is φ = 8830748160.

The previous prime is 31145457437. The next prime is 31145457509. The reversal of 31145457504 is 40575454113.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31145457509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88867 + ... + 264930.

It is an arithmetic number, because the mean of its divisors is an integer number (980728056).

Almost surely, 2^31145457504 is an apocalyptic number.

It is an amenable number.

31145457504 is an abundant number, since it is smaller than the sum of its proper divisors (63004435872).

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

31145457504 is a wasteful number, since it uses less digits than its factorization.

31145457504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353948 (or 353940 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 31145457504 in words is "thirty-one billion, one hundred forty-five million, four hundred fifty-seven thousand, five hundred four".