315261234288 has 480 divisors, whose sum is σ = 1186226076672. Its totient is φ = 75484569600.

The previous prime is 315261234287. The next prime is 315261234307. The reversal of 315261234288 is 882432162513.

315261234288 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 612 + 3 + 4 + 28 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315261234283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196179181 + ... + 196180787.

Almost surely, 2^315261234288 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 315261234288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593113038336).

315261234288 is an abundant number, since it is smaller than the sum of its proper divisors (870964842384).

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

315261234288 is a wasteful number, since it uses less digits than its factorization.

315261234288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3004 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 315261234288 in words is "three hundred fifteen billion, two hundred sixty-one million, two hundred thirty-four thousand, two hundred eighty-eight".