315511460464020 has 48 divisors (see below), whose sum is σ = 883435068575808. Its totient is φ = 84136105716480.

The previous prime is 315511460463959. The next prime is 315511460464051. The reversal of 315511460464020 is 20464064115513.

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 15 ways as a sum of consecutive naturals, for example, 9383355 + ... + 26815485.

It is an arithmetic number, because the mean of its divisors is an integer number (18404897261996).

Almost surely, 2^{315511460464020} is an apocalyptic number.

315511460464020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315511460464020 is an abundant number, since it is smaller than the sum of its proper divisors (567923608111788).

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

315511460464020 is a wasteful number, since it uses less digits than its factorization.

315511460464020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17733800 (or 17733798 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 315511460464020 in words is "three hundred fifteen trillion, five hundred eleven billion, four hundred sixty million, four hundred sixty-four thousand, twenty".