379514383415973 has 96 divisors (see below), whose sum is σ = 610735306272000. Its totient is φ = 225579184588800.

The previous prime is 379514383415939. The next prime is 379514383415983.

379514383415973 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 1 + 43 + 83 + 415 + 97 + 3 = 666.

379514383415973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 379514383415973 - 2²⁵ = 379514349861541 is a prime.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379514383415983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 979671165 + ... + 980058477.

It is an arithmetic number, because the mean of its divisors is an integer number (6361826107000).

Almost surely, 2^{379514383415973} is an apocalyptic number.

It is an amenable number.

379514383415973 is a deficient number, since it is larger than the sum of its proper divisors (231220922856027).

379514383415973 is a wasteful number, since it uses less digits than its factorization.

379514383415973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389019 (or 389016 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 379514383415973 in words is "three hundred seventy-nine trillion, five hundred fourteen billion, three hundred eighty-three million, four hundred fifteen thousand, nine hundred seventy-three".