383992068096 has 1152 divisors, whose sum is σ = 1449082252800. Its totient is φ = 98895790080.

The previous prime is 383992068059. The next prime is 383992068139. The reversal of 383992068096 is 690860299383.

383992068096 is a `hidden beast` number, since 38 + 399 + 206 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2762532795 + ... + 2762532933.

It is an arithmetic number, because the mean of its divisors is an integer number (1257883900).

Almost surely, 2^383992068096 is an apocalyptic number.

383992068096 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 383992068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724541126400).

383992068096 is an abundant number, since it is smaller than the sum of its proper divisors (1065090184704).

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

383992068096 is a wasteful number, since it uses less digits than its factorization.

383992068096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 383992068096 in words is "three hundred eighty-three billion, nine hundred ninety-two million, sixty-eight thousand, ninety-six".