12864614400 has 936 divisors, whose sum is σ = 53238092544. Its totient is φ = 3052339200.

The previous prime is 12864614393. The next prime is 12864614419. The reversal of 12864614400 is 441646821.

It is a happy number.

12864614400 is a `hidden beast` number, since 1 + 2 + 8 + 646 + 1 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273715177 + ... + 273715223.

It is an arithmetic number, because the mean of its divisors is an integer number (56878304).

Almost surely, 2^12864614400 is an apocalyptic number.

12864614400 is a gapful number since it is divisible by the number (10) 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 12864614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619046272).

12864614400 is an abundant number, since it is smaller than the sum of its proper divisors (40373478144).

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

12864614400 is an equidigital number, since it uses as much as digits as its factorization.

12864614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

It can be divided in two parts, 12864 and 614400, that added together give a square (627264 = 792²).

The spelling of 12864614400 in words is "twelve billion, eight hundred sixty-four million, six hundred fourteen thousand, four hundred".