382048016256 has 320 divisors, whose sum is σ = 1151536739760. Its totient is φ = 125726515200.

The previous prime is 382048016249. The next prime is 382048016269. The reversal of 382048016256 is 652610840283.

382048016256 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 480 + 162 + 5 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 577984566 + ... + 577985226.

Almost surely, 2^382048016256 is an apocalyptic number.

382048016256 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 382048016256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575768369880).

382048016256 is an abundant number, since it is smaller than the sum of its proper divisors (769488723504).

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

382048016256 is a wasteful number, since it uses less digits than its factorization.

382048016256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 382048016256 in words is "three hundred eighty-two billion, forty-eight million, sixteen thousand, two hundred fifty-six".