315016646400 has 756 divisors, whose sum is σ = 1178059052520. Its totient is φ = 83358720000.

The previous prime is 315016646381. The next prime is 315016646401. The reversal of 315016646400 is 4646610513.

It is a happy number.

315016646400 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 1 + 6 + 6 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315016646401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1171065466 + ... + 1171065734.

It is an arithmetic number, because the mean of its divisors is an integer number (1558279170).

Almost surely, 2^315016646400 is an apocalyptic number.

315016646400 is a gapful number since it is divisible by the number (30) 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 315016646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589029526260).

315016646400 is an abundant number, since it is smaller than the sum of its proper divisors (863042406120).

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

315016646400 is an equidigital number, since it uses as much as digits as its factorization.

315016646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 315016646400 in words is "three hundred fifteen billion, sixteen million, six hundred forty-six thousand, four hundred".