383133667794696 has 1792 divisors, whose sum is σ = 1399303019520000. Its totient is φ = 95591743543296.

The previous prime is 383133667794677. The next prime is 383133667794707. The reversal of 383133667794696 is 696497766331383.

383133667794696 is a `hidden beast` number, since 3 + 8 + 3 + 13 + 366 + 77 + 94 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 169004704555 + ... + 169004706821.

It is an arithmetic number, because the mean of its divisors is an integer number (780861060000).

Almost surely, 2^{383133667794696} is an apocalyptic number.

383133667794696 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 383133667794696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699651509760000).

383133667794696 is an abundant number, since it is smaller than the sum of its proper divisors (1016169351725304).

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

383133667794696 is a wasteful number, since it uses less digits than its factorization.

383133667794696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2539 counting only the distinct ones).

The product of its digits is 13332791808, while the sum is 81.

The spelling of 383133667794696 in words is "three hundred eighty-three trillion, one hundred thirty-three billion, six hundred sixty-seven million, seven hundred ninety-four thousand, six hundred ninety-six".