12386825856 has 288 divisors, whose sum is σ = 37967092800. Its totient is φ = 4019258880.

The previous prime is 12386825827. The next prime is 12386825861. The reversal of 12386825856 is 65852868321.

12386825856 is a `hidden beast` number, since 1 + 2 + 386 + 8 + 258 + 5 + 6 = 666.

12386825856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156795225 + ... + 156795303.

Almost surely, 2^12386825856 is an apocalyptic number.

12386825856 is a gapful number since it is divisible by the number (16) 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 12386825856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18983546400).

12386825856 is an abundant number, since it is smaller than the sum of its proper divisors (25580266944).

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

12386825856 is an frugal number, since it uses more digits than its factorization.

12386825856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 155 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 12386825856 in words is "twelve billion, three hundred eighty-six million, eight hundred twenty-five thousand, eight hundred fifty-six".