315344925504 has 336 divisors, whose sum is σ = 1054727481600. Its totient is φ = 88221450240.

The previous prime is 315344925503. The next prime is 315344925529. The reversal of 315344925504 is 405529443513.

315344925504 is a `hidden beast` number, since 3 + 1 + 5 + 3 + 4 + 4 + 92 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×315344925504² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315344925504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315344925503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42650832 + ... + 42658224.

Almost surely, 2^315344925504 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 315344925504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527363740800).

315344925504 is an abundant number, since it is smaller than the sum of its proper divisors (739382556096).

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

315344925504 is a wasteful number, since it uses less digits than its factorization.

315344925504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7638 (or 7625 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 315344925504 in words is "three hundred fifteen billion, three hundred forty-four million, nine hundred twenty-five thousand, five hundred four".