315339816960 has 1440 divisors, whose sum is σ = 1355691896832. Its totient is φ = 68797071360.

The previous prime is 315339816943. The next prime is 315339816977. The reversal of 315339816960 is 69618933513.

315339816960 is a `hidden beast` number, since 3 + 1 + 533 + 9 + 8 + 16 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (315339816943) and next prime (315339816977).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 315339816897 and 315339816906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4319723484 + ... + 4319723556.

Almost surely, 2^315339816960 is an apocalyptic number.

315339816960 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 315339816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677845948416).

315339816960 is an abundant number, since it is smaller than the sum of its proper divisors (1040352079872).

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

315339816960 is an frugal number, since it uses more digits than its factorization.

315339816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 315339816960 in words is "three hundred fifteen billion, three hundred thirty-nine million, eight hundred sixteen thousand, nine hundred sixty".