12756663144 has 192 divisors, whose sum is σ = 37439625600. Its totient is φ = 3911846400.

The previous prime is 12756663103. The next prime is 12756663149. The reversal of 12756663144 is 44136665721.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12756663144.

It is not an unprimeable number, because it can be changed into a prime (12756663149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23579514 + ... + 23580054.

It is an arithmetic number, because the mean of its divisors is an integer number (194998050).

Almost surely, 2^12756663144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12756663144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18719812800).

12756663144 is an abundant number, since it is smaller than the sum of its proper divisors (24682962456).

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

12756663144 is a wasteful number, since it uses less digits than its factorization.

12756663144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1089 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 12756663144 in words is "twelve billion, seven hundred fifty-six million, six hundred sixty-three thousand, one hundred forty-four".