12382638048 has 384 divisors, whose sum is σ = 42384384000. Its totient is φ = 3476805120.

The previous prime is 12382638019. The next prime is 12382638089. The reversal of 12382638048 is 84083628321.

12382638048 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 2 + 638 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12382637994 and 12382638012.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8486343 + ... + 8487801.

It is an arithmetic number, because the mean of its divisors is an integer number (110376000).

Almost surely, 2^12382638048 is an apocalyptic number.

12382638048 is a gapful number since it is divisible by the number (18) 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 12382638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21192192000).

12382638048 is an abundant number, since it is smaller than the sum of its proper divisors (30001745952).

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

12382638048 is a wasteful number, since it uses less digits than its factorization.

12382638048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 12382638048 in words is "twelve billion, three hundred eighty-two million, six hundred thirty-eight thousand, forty-eight".