315467960416 has 192 divisors, whose sum is σ = 792458795520. Its totient is φ = 120345108480.

The previous prime is 315467960369. The next prime is 315467960429. The reversal of 315467960416 is 614069764513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46518946 + ... + 46525726.

It is an arithmetic number, because the mean of its divisors is an integer number (4127389560).

Almost surely, 2^315467960416 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 315467960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396229397760).

315467960416 is an abundant number, since it is smaller than the sum of its proper divisors (476990835104).

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

315467960416 is a wasteful number, since it uses less digits than its factorization.

315467960416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7477 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 315467960416 in words is "three hundred fifteen billion, four hundred sixty-seven million, nine hundred sixty thousand, four hundred sixteen".