383324368896 has 1560 divisors, whose sum is σ = 1504982231280. Its totient is φ = 96315899904.

The previous prime is 383324368873. The next prime is 383324368919. The reversal of 383324368896 is 698863423383.

383324368896 is a `hidden beast` number, since 3 + 8 + 3 + 32 + 436 + 88 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (383324368873) and next prime (383324368919).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5251018716 + ... + 5251018788.

Almost surely, 2^383324368896 is an apocalyptic number.

383324368896 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 383324368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752491115640).

383324368896 is an abundant number, since it is smaller than the sum of its proper divisors (1121657862384).

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

383324368896 is a wasteful number, since it uses less digits than its factorization.

383324368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 383324368896 in words is "three hundred eighty-three billion, three hundred twenty-four million, three hundred sixty-eight thousand, eight hundred ninety-six".