315258483456 has 288 divisors, whose sum is σ = 1066316536320. Its totient is φ = 90001207296.

The previous prime is 315258483451. The next prime is 315258483487. The reversal of 315258483456 is 654384852513.

315258483456 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 584 + 8 + 3 + 4 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×315258483456² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (315258483451) 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, 96911526 + ... + 96914778.

Almost surely, 2^315258483456 is an apocalyptic number.

315258483456 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 315258483456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533158268160).

315258483456 is an abundant number, since it is smaller than the sum of its proper divisors (751058052864).

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

315258483456 is a wasteful number, since it uses less digits than its factorization.

315258483456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5268 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 315258483456 in words is "three hundred fifteen billion, two hundred fifty-eight million, four hundred eighty-three thousand, four hundred fifty-six".