315350616672 has 288 divisors, whose sum is σ = 1104605087040. Its totient is φ = 83103252480.

The previous prime is 315350616661. The next prime is 315350616727. The reversal of 315350616672 is 276616053513.

315350616672 is a `hidden beast` number, since 3 + 15 + 3 + 506 + 1 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×315350616672² (a number of 24 digits) contains 22 as substring.

It is a congruent 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, 39019672 + ... + 39027752.

It is an arithmetic number, because the mean of its divisors is an integer number (3835434330).

Almost surely, 2^315350616672 is an apocalyptic number.

315350616672 is a gapful number since it is divisible by the number (32) 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 315350616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552302543520).

315350616672 is an abundant number, since it is smaller than the sum of its proper divisors (789254470368).

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

315350616672 is a wasteful number, since it uses less digits than its factorization.

315350616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9606 (or 9595 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 315350616672 in words is "three hundred fifteen billion, three hundred fifty million, six hundred sixteen thousand, six hundred seventy-two".