315839504016 has 225 divisors, whose sum is σ = 931978377561. Its totient is φ = 103263393024.

The previous prime is 315839503999. The next prime is 315839504053. The reversal of 315839504016 is 610405938513.

The square root of 315839504016 is 561996.

It is a perfect power (a square), and thus also a powerful number.

315839504016 is a `hidden beast` number, since 3 + 1 + 583 + 9 + 50 + 4 + 0 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64140627600 + 251698876416 = 253260^2 + 501696^2 .

It is a super-4 number, since 4×315839504016⁴ (a number of 47 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1355534236 + ... + 1355534468.

Almost surely, 2^315839504016 is an apocalyptic number.

315839504016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

315839504016 is the 561996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315839504016

315839504016 is an abundant number, since it is smaller than the sum of its proper divisors (616138873545).

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

315839504016 is an frugal number, since it uses more digits than its factorization.

315839504016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 315839504016 in words is "three hundred fifteen billion, eight hundred thirty-nine million, five hundred four thousand, sixteen".