315466448896 has 57 divisors (see below), whose sum is σ = 631507361509. Its totient is φ = 157589438464.

The previous prime is 315466448893. The next prime is 315466448951. The reversal of 315466448896 is 698844664513.

The square root of 315466448896 is 561664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 89712230400 + 225754218496 = 299520^2 + 475136^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315466448893) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 287571420 + ... + 287572516.

Almost surely, 2^315466448896 is an apocalyptic number.

315466448896 is the 561664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315466448896

315466448896 is an abundant number, since it is smaller than the sum of its proper divisors (316040912613).

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

315466448896 is an frugal number, since it uses more digits than its factorization.

315466448896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1099 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 64.

Multiplying 315466448896 by its sum of digits (64), we get a square (20189852729344 = 4493312²).

315466448896 divided by its sum of digits (64) gives a square (4929163264 = 70208²).

The spelling of 315466448896 in words is "three hundred fifteen billion, four hundred sixty-six million, four hundred forty-eight thousand, eight hundred ninety-six".