382339408896 has 495 divisors, whose sum is σ = 1215752567601. Its totient is φ = 119670276096.

The previous prime is 382339408873. The next prime is 382339408897. The reversal of 382339408896 is 698804933283.

The square root of 382339408896 is 618336.

It is a perfect power (a square), and thus also a powerful number.

382339408896 is a `hidden beast` number, since 3 + 82 + 3 + 394 + 0 + 88 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6737126400 + 375602282496 = 82080^2 + 612864^2 .

It is not an unprimeable number, because it can be changed into a prime (382339408897) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3383534536 + ... + 3383534648.

Almost surely, 2^382339408896 is an apocalyptic number.

382339408896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

382339408896 is the 618336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382339408896

382339408896 is an abundant number, since it is smaller than the sum of its proper divisors (833413158705).

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

382339408896 is an equidigital number, since it uses as much as digits as its factorization.

382339408896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 382339408896 in words is "three hundred eighty-two billion, three hundred thirty-nine million, four hundred eight thousand, eight hundred ninety-six".