315246395520 has 384 divisors, whose sum is σ = 1253070000000. Its totient is φ = 71536656384.

The previous prime is 315246395491. The next prime is 315246395521. The reversal of 315246395520 is 25593642513.

315246395520 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 4 + 639 + 5 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (315246395521) 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, 5576356 + ... + 5632604.

It is an arithmetic number, because the mean of its divisors is an integer number (3263203125).

Almost surely, 2^315246395520 is an apocalyptic number.

315246395520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315246395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626535000000).

315246395520 is an abundant number, since it is smaller than the sum of its proper divisors (937823604480).

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

315246395520 is a wasteful number, since it uses less digits than its factorization.

315246395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56420 (or 56405 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 315246395520 in words is "three hundred fifteen billion, two hundred forty-six million, three hundred ninety-five thousand, five hundred twenty".