319410346896 has 105 divisors (see below), whose sum is σ = 928039207809. Its totient is φ = 106449769728.

The previous prime is 319410346877. The next prime is 319410346919. The reversal of 319410346896 is 698643014913.

The square root of 319410346896 is 565164.

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

319410346896 is a `hidden beast` number, since 3 + 1 + 94 + 1 + 0 + 3 + 468 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307558976400 + 11851370496 = 554580^2 + 108864^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 61035096 + ... + 61040328.

Almost surely, 2^319410346896 is an apocalyptic number.

319410346896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

319410346896 is the 565164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319410346896

319410346896 is an abundant number, since it is smaller than the sum of its proper divisors (608628860913).

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

319410346896 is an frugal number, since it uses more digits than its factorization.

319410346896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 319410346896 in words is "three hundred nineteen billion, four hundred ten million, three hundred forty-six thousand, eight hundred ninety-six".