12642183656448 has 352 divisors, whose sum is σ = 37256562302976. Its totient is φ = 3790962819072.

The previous prime is 12642183656441. The next prime is 12642183656467. The reversal of 12642183656448 is 84465638124621.

It is a junction number, because it is equal to n+sod(n) for n = 12642183656391 and 12642183656400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642183656441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2141651065 + ... + 2141656967.

Almost surely, 2^{12642183656448} 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 12642183656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628281151488).

12642183656448 is an abundant number, since it is smaller than the sum of its proper divisors (24614378646528).

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

12642183656448 is a wasteful number, since it uses less digits than its factorization.

12642183656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7731 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 60.

The spelling of 12642183656448 in words is "twelve trillion, six hundred forty-two billion, one hundred eighty-three million, six hundred fifty-six thousand, four hundred forty-eight".