315178942464 has 459 divisors, whose sum is σ = 990236555373. Its totient is φ = 96580141056.

The previous prime is 315178942291. The next prime is 315178942469. The reversal of 315178942464 is 464249871513.

The square root of 315178942464 is 561408.

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

315178942464 is a `hidden beast` number, since 3 + 1 + 5 + 178 + 9 + 4 + 2 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245381529600 + 69797412864 = 495360^2 + 264192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 315178942464.

It is not an unprimeable number, because it can be changed into a prime (315178942469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7329742827 + ... + 7329742869.

Almost surely, 2^315178942464 is an apocalyptic number.

315178942464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

315178942464 is the 561408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315178942464

315178942464 is an abundant number, since it is smaller than the sum of its proper divisors (675057612909).

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

315178942464 is an frugal number, since it uses more digits than its factorization.

315178942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 65 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 315178942464 in words is "three hundred fifteen billion, one hundred seventy-eight million, nine hundred forty-two thousand, four hundred sixty-four".