383969967833088 has 4608 divisors, whose sum is σ = 1572075838831680. Its totient is φ = 92463263907840.

The previous prime is 383969967833059. The next prime is 383969967833099. The reversal of 383969967833088 is 880338769969383.

It is a happy number.

383969967833088 is a `hidden beast` number, since 3 + 8 + 396 + 9 + 9 + 67 + 83 + 3 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a junction number, because it is equal to n+sod(n) for n = 383969967832989 and 383969967833007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5259862573020 + ... + 5259862573092.

Almost surely, 2^{383969967833088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383969967833088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786037919415840).

383969967833088 is an abundant number, since it is smaller than the sum of its proper divisors (1188105870998592).

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

383969967833088 is an equidigital number, since it uses as much as digits as its factorization.

383969967833088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 60949905408, while the sum is 90.

The spelling of 383969967833088 in words is "three hundred eighty-three trillion, nine hundred sixty-nine billion, nine hundred sixty-seven million, eight hundred thirty-three thousand, eighty-eight".