315172600668 has 96 divisors (see below), whose sum is σ = 826840224000. Its totient is φ = 103812020928.

The previous prime is 315172600661. The next prime is 315172600669. The reversal of 315172600668 is 866006271513.

315172600668 is a `hidden beast` number, since 31 + 5 + 1 + 7 + 2 + 600 + 6 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315172600661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4553383 + ... + 4622081.

It is an arithmetic number, because the mean of its divisors is an integer number (8612919000).

Almost surely, 2^315172600668 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 315172600668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413420112000).

315172600668 is an abundant number, since it is smaller than the sum of its proper divisors (511667623332).

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

315172600668 is a wasteful number, since it uses less digits than its factorization.

315172600668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69216 (or 69208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 315172600668 in words is "three hundred fifteen billion, one hundred seventy-two million, six hundred thousand, six hundred sixty-eight".