382143920256 has 320 divisors, whose sum is σ = 1318042661760. Its totient is φ = 107644723200.

The previous prime is 382143920251. The next prime is 382143920287. The reversal of 382143920256 is 652029341283.

382143920256 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 4 + 392 + 0 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (382143920251) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5115816 + ... + 5189976.

It is an arithmetic number, because the mean of its divisors is an integer number (4118883318).

Almost surely, 2^382143920256 is an apocalyptic number.

382143920256 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 382143920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659021330880).

382143920256 is an abundant number, since it is smaller than the sum of its proper divisors (935898741504).

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

382143920256 is an equidigital number, since it uses as much as digits as its factorization.

382143920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74265 (or 74244 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 382143920256 in words is "three hundred eighty-two billion, one hundred forty-three million, nine hundred twenty thousand, two hundred fifty-six".