315138522384 has 405 divisors, whose sum is σ = 1058066289189. Its totient is φ = 87304573440.

The previous prime is 315138522379. The next prime is 315138522443. The reversal of 315138522384 is 483225831513.

The square root of 315138522384 is 561372.

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

315138522384 is a `hidden beast` number, since 3 + 1 + 513 + 8 + 52 + 2 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15185139984 + 299953382400 = 123228^2 + 547680^2 .

Its product of digits (691200) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1933365087 + ... + 1933365249.

Almost surely, 2^315138522384 is an apocalyptic number.

315138522384 is the 561372-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315138522384

315138522384 is an abundant number, since it is smaller than the sum of its proper divisors (742927766805).

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

315138522384 is a wasteful number, since it uses less digits than its factorization.

315138522384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 216 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 315138522384 in words is "three hundred fifteen billion, one hundred thirty-eight million, five hundred twenty-two thousand, three hundred eighty-four".