315889509324312 has 2048 divisors, whose sum is σ = 1216696320000000. Its totient is φ = 74992838860800.

The previous prime is 315889509324299. The next prime is 315889509324341. The reversal of 315889509324312 is 213423905988513.

315889509324312 is a `hidden beast` number, since 3 + 1 + 5 + 8 + 89 + 509 + 3 + 2 + 43 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 315889509324312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 196326605364 + ... + 196326606972.

It is an arithmetic number, because the mean of its divisors is an integer number (594090000000).

Almost surely, 2^{315889509324312} 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 315889509324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608348160000000).

315889509324312 is an abundant number, since it is smaller than the sum of its proper divisors (900806810675688).

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

315889509324312 is a wasteful number, since it uses less digits than its factorization.

315889509324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 315889509324312 in words is "three hundred fifteen trillion, eight hundred eighty-nine billion, five hundred nine million, three hundred twenty-four thousand, three hundred twelve".