12644848080000 has 720 divisors, whose sum is σ = 47989075884750. Its totient is φ = 3194422272000.

The previous prime is 12644848079993. The next prime is 12644848080061. The reversal of 12644848080000 is 8084844621.

12644848080000 is a `hidden beast` number, since 12 + 6 + 4 + 484 + 80 + 80 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 55579005504 + 12589269074496 = 235752^2 + 3548136^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 89 ways as a sum of consecutive naturals, for example, 259895676 + ... + 259944324.

Almost surely, 2^{12644848080000} is an apocalyptic number.

12644848080000 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 12644848080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23994537942375).

12644848080000 is an abundant number, since it is smaller than the sum of its proper divisors (35344227804750).

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

12644848080000 is an equidigital number, since it uses as much as digits as its factorization.

12644848080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48727 (or 48678 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12644848080000 in words is "twelve trillion, six hundred forty-four billion, eight hundred forty-eight million, eighty thousand".