382607663112 has 96 divisors (see below), whose sum is σ = 1052445139200. Its totient is φ = 125542783872.

The previous prime is 382607663093. The next prime is 382607663257. The reversal of 382607663112 is 211366706283.

382607663112 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 0 + 7 + 6 + 631 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6914178 + ... + 6969294.

It is an arithmetic number, because the mean of its divisors is an integer number (10962970200).

Almost surely, 2^382607663112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382607663112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526222569600).

382607663112 is an abundant number, since it is smaller than the sum of its proper divisors (669837476088).

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

382607663112 is a wasteful number, since it uses less digits than its factorization.

382607663112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56635 (or 56628 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 382607663112 in words is "three hundred eighty-two billion, six hundred seven million, six hundred sixty-three thousand, one hundred twelve".