315112304320 has 336 divisors, whose sum is σ = 837563882400. Its totient is φ = 112827432960.

The previous prime is 315112304303. The next prime is 315112304347. The reversal of 315112304320 is 23403211513.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113470899 + ... + 1113471181.

It is an arithmetic number, because the mean of its divisors is an integer number (2492749650).

Almost surely, 2^315112304320 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 315112304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418781941200).

315112304320 is an abundant number, since it is smaller than the sum of its proper divisors (522451578080).

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

315112304320 is a wasteful number, since it uses less digits than its factorization.

315112304320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 315112304320 its reverse (23403211513), we get a palindrome (338515515833).

The spelling of 315112304320 in words is "three hundred fifteen billion, one hundred twelve million, three hundred four thousand, three hundred twenty".