315151540704 has 1296 divisors, whose sum is σ = 1265865938064. Its totient is φ = 73466265600.

The previous prime is 315151540679. The next prime is 315151540721. The reversal of 315151540704 is 407045151513.

315151540704 is a `hidden beast` number, since 31 + 5 + 1 + 515 + 40 + 70 + 4 = 666.

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 215 ways as a sum of consecutive naturals, for example, 1075602382 + ... + 1075602674.

It is an arithmetic number, because the mean of its divisors is an integer number (976748409).

Almost surely, 2^315151540704 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 315151540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632932969032).

315151540704 is an abundant number, since it is smaller than the sum of its proper divisors (950714397360).

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

315151540704 is a wasteful number, since it uses less digits than its factorization.

315151540704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 315151540704 in words is "three hundred fifteen billion, one hundred fifty-one million, five hundred forty thousand, seven hundred four".