12257328384 has 432 divisors, whose sum is σ = 42472684800. Its totient is φ = 3325722624.

The previous prime is 12257328379. The next prime is 12257328443. The reversal of 12257328384 is 48382375221.

12257328384 is a `hidden beast` number, since 1 + 22 + 573 + 28 + 38 + 4 = 666.

It is a super-2 number, since 2×12257328384² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34142797 + ... + 34143155.

It is an arithmetic number, because the mean of its divisors is an integer number (98316400).

Almost surely, 2^12257328384 is an apocalyptic number.

12257328384 is a gapful number since it is divisible by the number (14) 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 12257328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21236342400).

12257328384 is an abundant number, since it is smaller than the sum of its proper divisors (30215356416).

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

12257328384 is a wasteful number, since it uses less digits than its factorization.

12257328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 473 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 12257328384 in words is "twelve billion, two hundred fifty-seven million, three hundred twenty-eight thousand, three hundred eighty-four".