12386233728 has 288 divisors, whose sum is σ = 41489983080. Its totient is φ = 3531939840.

The previous prime is 12386233697. The next prime is 12386233733. The reversal of 12386233728 is 82733268321.

12386233728 is a `hidden beast` number, since 1 + 238 + 62 + 337 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2367051 + ... + 2372277.

Almost surely, 2^12386233728 is an apocalyptic number.

12386233728 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 12386233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744991540).

12386233728 is an abundant number, since it is smaller than the sum of its proper divisors (29103749352).

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

12386233728 is a wasteful number, since it uses less digits than its factorization.

12386233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5260 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 12386233728 in words is "twelve billion, three hundred eighty-six million, two hundred thirty-three thousand, seven hundred twenty-eight".