315413269056 has 224 divisors, whose sum is σ = 940949055360. Its totient is φ = 104886420480.

The previous prime is 315413269043. The next prime is 315413269057. The reversal of 315413269056 is 650962314513.

315413269056 is a `hidden beast` number, since 31 + 541 + 3 + 26 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×315413269056² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (315413269057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63962911 + ... + 63967841.

Almost surely, 2^315413269056 is an apocalyptic number.

315413269056 is a gapful number since it is divisible by the number (36) 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 315413269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470474527680).

315413269056 is an abundant number, since it is smaller than the sum of its proper divisors (625535786304).

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

315413269056 is an frugal number, since it uses more digits than its factorization.

315413269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5421 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 315413269056 in words is "three hundred fifteen billion, four hundred thirteen million, two hundred sixty-nine thousand, fifty-six".