315205148160 has 960 divisors, whose sum is σ = 1358923737600. Its totient is φ = 65882750976.

The previous prime is 315205148129. The next prime is 315205148161. The reversal of 315205148160 is 61841502513.

315205148160 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 0 + 514 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315205148161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88863507 + ... + 88867053.

It is an arithmetic number, because the mean of its divisors is an integer number (1415545560).

Almost surely, 2^315205148160 is an apocalyptic number.

315205148160 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 315205148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679461868800).

315205148160 is an abundant number, since it is smaller than the sum of its proper divisors (1043718589440).

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

315205148160 is a wasteful number, since it uses less digits than its factorization.

315205148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 315205148160 in words is "three hundred fifteen billion, two hundred five million, one hundred forty-eight thousand, one hundred sixty".