379165648896 has 288 divisors, whose sum is σ = 1180897099200. Its totient is φ = 116811694080.

The previous prime is 379165648889. The next prime is 379165648907. The reversal of 379165648896 is 698846561973.

379165648896 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 6 + 56 + 488 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14345325 + ... + 14371731.

It is an arithmetic number, because the mean of its divisors is an integer number (4100337150).

Almost surely, 2^379165648896 is an apocalyptic number.

379165648896 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 379165648896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590448549600).

379165648896 is an abundant number, since it is smaller than the sum of its proper divisors (801731450304).

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

379165648896 is a wasteful number, since it uses less digits than its factorization.

379165648896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26495 (or 26472 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 379165648896 in words is "three hundred seventy-nine billion, one hundred sixty-five million, six hundred forty-eight thousand, eight hundred ninety-six".