12648857742048 has 96 divisors (see below), whose sum is σ = 36223698026880. Its totient is φ = 3832778831360.

The previous prime is 12648857742029. The next prime is 12648857742083. The reversal of 12648857742048 is 84024775884621.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 12648857742048.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 19691938 + ... + 20324126.

It is an arithmetic number, because the mean of its divisors is an integer number (377330187780).

Almost surely, 2^{12648857742048} is an apocalyptic number.

It is an amenable number.

12648857742048 is an abundant number, since it is smaller than the sum of its proper divisors (23574840284832).

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

12648857742048 is a wasteful number, since it uses less digits than its factorization.

12648857742048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651160 (or 651152 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 66.

The spelling of 12648857742048 in words is "twelve trillion, six hundred forty-eight billion, eight hundred fifty-seven million, seven hundred forty-two thousand, forty-eight".