382354383833856 has 864 divisors, whose sum is σ = 1456244184245760. Its totient is φ = 97406476812288.

The previous prime is 382354383833813. The next prime is 382354383833861. The reversal of 382354383833856 is 658338383453283.

382354383833856 is a `hidden beast` number, since 3 + 8 + 2 + 35 + 438 + 3 + 83 + 3 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 139293070 + ... + 142011506.

It is an arithmetic number, because the mean of its divisors is an integer number (1685467805840).

Almost surely, 2^{382354383833856} is an apocalyptic number.

382354383833856 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 382354383833856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728122092122880).

382354383833856 is an abundant number, since it is smaller than the sum of its proper divisors (1073889800411904).

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

382354383833856 is a wasteful number, since it uses less digits than its factorization.

382354383833856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718511 (or 2718485 counting only the distinct ones).

The product of its digits is 3583180800, while the sum is 72.

The spelling of 382354383833856 in words is "three hundred eighty-two trillion, three hundred fifty-four billion, three hundred eighty-three million, eight hundred thirty-three thousand, eight hundred fifty-six".