319328968464 has 225 divisors, whose sum is σ = 1016602325431. Its totient is φ = 96698543040.

The previous prime is 319328968429. The next prime is 319328968579. The reversal of 319328968464 is 464869823913.

The square root of 319328968464 is 565092.

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

319328968464 is a `hidden beast` number, since 3 + 1 + 9 + 32 + 89 + 68 + 464 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 223775719 + ... + 223777145.

Almost surely, 2^319328968464 is an apocalyptic number.

319328968464 is the 565092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319328968464

319328968464 is an abundant number, since it is smaller than the sum of its proper divisors (697273356967).

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

319328968464 is an equidigital number, since it uses as much as digits as its factorization.

319328968464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 1443 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 319328968464 in words is "three hundred nineteen billion, three hundred twenty-eight million, nine hundred sixty-eight thousand, four hundred sixty-four".