315972426984 has 256 divisors, whose sum is σ = 926886758400. Its totient is φ = 89027592192.

The previous prime is 315972426949. The next prime is 315972426989. The reversal of 315972426984 is 489624279513.

It is a happy number.

It is a super-2 number, since 2×315972426984² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (315972426989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20139607 + ... + 20155289.

It is an arithmetic number, because the mean of its divisors is an integer number (3620651400).

Almost surely, 2^315972426984 is an apocalyptic number.

315972426984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315972426984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463443379200).

315972426984 is an abundant number, since it is smaller than the sum of its proper divisors (610914331416).

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

315972426984 is a wasteful number, since it uses less digits than its factorization.

315972426984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15864 (or 15860 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 60.

The spelling of 315972426984 in words is "three hundred fifteen billion, nine hundred seventy-two million, four hundred twenty-six thousand, nine hundred eighty-four".