379116593856 has 1680 divisors, whose sum is σ = 1566246060288. Its totient is φ = 89616844800.

The previous prime is 379116593809. The next prime is 379116593929. The reversal of 379116593856 is 658395611973.

379116593856 is a `hidden beast` number, since 3 + 7 + 91 + 165 + 9 + 385 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (36741600) is a multiple of the sum of its prime factors (150).

It is a junction number, because it is equal to n+sod(n) for n = 379116593793 and 379116593802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5339670301 + ... + 5339670371.

Almost surely, 2^379116593856 is an apocalyptic number.

379116593856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379116593856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783123030144).

379116593856 is an abundant number, since it is smaller than the sum of its proper divisors (1187129466432).

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

379116593856 is an equidigital number, since it uses as much as digits as its factorization.

379116593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 379116593856 in words is "three hundred seventy-nine billion, one hundred sixteen million, five hundred ninety-three thousand, eight hundred fifty-six".