319441996864 has 189 divisors, whose sum is σ = 683478616149. Its totient is φ = 148125519360.

The previous prime is 319441996807. The next prime is 319441996903. The reversal of 319441996864 is 468699144913.

The square root of 319441996864 is 565192.

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., 230284814400 + 89157182464 = 479880^2 + 298592^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 319441996796 and 319441996805.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6027207462 + ... + 6027207514.

Almost surely, 2^319441996864 is an apocalyptic number.

319441996864 is the 565192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319441996864

319441996864 is an abundant number, since it is smaller than the sum of its proper divisors (364036619285).

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

319441996864 is an frugal number, since it uses more digits than its factorization.

319441996864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 129 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 64.

Multiplying 319441996864 by its sum of digits (64), we get a square (20444287799296 = 4521536²).

319441996864 divided by its sum of digits (64) gives a square (4991281201 = 70649²).

The spelling of 319441996864 in words is "three hundred nineteen billion, four hundred forty-one million, nine hundred ninety-six thousand, eight hundred sixty-four".