315666284544 has 840 divisors, whose sum is σ = 1083025369440. Its totient is φ = 91156119552.

The previous prime is 315666284513. The next prime is 315666284551. The reversal of 315666284544 is 445482666513.

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

Its product of digits (16588800) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2950152139 + ... + 2950152245.

It is an arithmetic number, because the mean of its divisors is an integer number (1289315916).

Almost surely, 2^315666284544 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 315666284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541512684720).

315666284544 is an abundant number, since it is smaller than the sum of its proper divisors (767359084896).

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

315666284544 is an equidigital number, since it uses as much as digits as its factorization.

315666284544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 144 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 315666284544 in words is "three hundred fifteen billion, six hundred sixty-six million, two hundred eighty-four thousand, five hundred forty-four".