382079813260896 has 240 divisors, whose sum is σ = 1189056725353728. Its totient is φ = 120106737273600.

The previous prime is 382079813260891. The next prime is 382079813260927. The reversal of 382079813260896 is 698062318970283.

382079813260896 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 7 + 9 + 8 + 1 + 3 + 2 + 608 + 9 + 6 = 666.

It is a super-3 number, since 3×382079813260896³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382079813260891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40901170 + ... + 49366641.

Almost surely, 2^{382079813260896} is an apocalyptic number.

382079813260896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

382079813260896 is an abundant number, since it is smaller than the sum of its proper divisors (806976912092832).

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

382079813260896 is a wasteful number, since it uses less digits than its factorization.

382079813260896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90267927 (or 90267910 counting only the distinct ones).

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

The spelling of 382079813260896 in words is "three hundred eighty-two trillion, seventy-nine billion, eight hundred thirteen million, two hundred sixty thousand, eight hundred ninety-six".