315520748928 has 768 divisors, whose sum is σ = 1199311626240. Its totient is φ = 80181135360.

The previous prime is 315520748909. The next prime is 315520748947. The reversal of 315520748928 is 829847025513.

315520748928 is a `hidden beast` number, since 3 + 1 + 552 + 0 + 7 + 4 + 89 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (315520748909) and next prime (315520748947).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112563975 + ... + 112566777.

It is an arithmetic number, because the mean of its divisors is an integer number (1561603680).

Almost surely, 2^315520748928 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 315520748928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599655813120).

315520748928 is an abundant number, since it is smaller than the sum of its proper divisors (883790877312).

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

315520748928 is a wasteful number, since it uses less digits than its factorization.

315520748928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 315520748928 in words is "three hundred fifteen billion, five hundred twenty million, seven hundred forty-eight thousand, nine hundred twenty-eight".