315446516000 has 864 divisors, whose sum is σ = 1015666718976. Its totient is φ = 95889024000.

The previous prime is 315446515997. The next prime is 315446516041. The reversal of 315446516000 is 615644513.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1114651859 + ... + 1114652141.

It is an arithmetic number, because the mean of its divisors is an integer number (1175540184).

Almost surely, 2^315446516000 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 315446516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507833359488).

315446516000 is an abundant number, since it is smaller than the sum of its proper divisors (700220202976).

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

315446516000 is a wasteful number, since it uses less digits than its factorization.

315446516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 315446516000 in words is "three hundred fifteen billion, four hundred forty-six million, five hundred sixteen thousand".