319686130860768 has 72 divisors (see below), whose sum is σ = 1038979925304048. Its totient is φ = 91338894531072.

The previous prime is 319686130860731. The next prime is 319686130860773. The reversal of 319686130860768 is 867068031686913.

319686130860768 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 8 + 6 + 1 + 3 + 0 + 8 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 319686130860696 and 319686130860705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79287232821 + ... + 79287236852.

It is an arithmetic number, because the mean of its divisors is an integer number (14430276740334).

Almost surely, 2^{319686130860768} is an apocalyptic number.

It is an amenable number.

319686130860768 is an abundant number, since it is smaller than the sum of its proper divisors (719293794443280).

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

319686130860768 is a wasteful number, since it uses less digits than its factorization.

319686130860768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158574469696 (or 158574469685 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 319686130860768 in words is "three hundred nineteen trillion, six hundred eighty-six billion, one hundred thirty million, eight hundred sixty thousand, seven hundred sixty-eight".