315532080864 has 1152 divisors, whose sum is σ = 1245381516288. Its totient is φ = 73149972480.

The previous prime is 315532080839. The next prime is 315532080887. The reversal of 315532080864 is 468080235513.

315532080864 is a `hidden beast` number, since 31 + 5 + 532 + 0 + 8 + 0 + 86 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1634881152 + ... + 1634881344.

It is an arithmetic number, because the mean of its divisors is an integer number (1081060344).

Almost surely, 2^315532080864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315532080864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622690758144).

315532080864 is an abundant number, since it is smaller than the sum of its proper divisors (929849435424).

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

315532080864 is a wasteful number, since it uses less digits than its factorization.

315532080864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

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

The spelling of 315532080864 in words is "three hundred fifteen billion, five hundred thirty-two million, eighty thousand, eight hundred sixty-four".