12864676608 has 432 divisors, whose sum is σ = 45426640896. Its totient is φ = 3553320960.

The previous prime is 12864676571. The next prime is 12864676621. The reversal of 12864676608 is 80667646821.

12864676608 is a `hidden beast` number, since 1 + 28 + 6 + 4 + 6 + 7 + 6 + 608 = 666.

12864676608 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 (432).

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 47 ways as a sum of consecutive naturals, for example, 13498660 + ... + 13499612.

Almost surely, 2^12864676608 is an apocalyptic number.

12864676608 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 12864676608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713320448).

12864676608 is an abundant number, since it is smaller than the sum of its proper divisors (32561964288).

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

12864676608 is an frugal number, since it uses more digits than its factorization.

12864676608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 12864676608 in words is "twelve billion, eight hundred sixty-four million, six hundred seventy-six thousand, six hundred eight".