12864724992 has 336 divisors, whose sum is σ = 44375649120. Its totient is φ = 3672539136.

The previous prime is 12864724981. The next prime is 12864725011. The reversal of 12864724992 is 29942746821.

It is a happy number.

12864724992 is a `hidden beast` number, since 1 + 2 + 86 + 4 + 72 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12864724992² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 10837423 + ... + 10838609.

Almost surely, 2^12864724992 is an apocalyptic number.

12864724992 is a gapful number since it is divisible by the number (12) 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 12864724992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187824560).

12864724992 is an abundant number, since it is smaller than the sum of its proper divisors (31510924128).

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

12864724992 is an equidigital number, since it uses as much as digits as its factorization.

12864724992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1199 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 12864724992 in words is "twelve billion, eight hundred sixty-four million, seven hundred twenty-four thousand, nine hundred ninety-two".