12442648768 has 168 divisors, whose sum is σ = 27959334480. Its totient is φ = 5487820800.

The previous prime is 12442648763. The next prime is 12442648781. The reversal of 12442648768 is 86784624421.

It is not an unprimeable number, because it can be changed into a prime (12442648763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51629128 + ... + 51629368.

It is an arithmetic number, because the mean of its divisors is an integer number (166424610).

Almost surely, 2^12442648768 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 12442648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979667240).

12442648768 is an abundant number, since it is smaller than the sum of its proper divisors (15516685712).

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

12442648768 is a wasteful number, since it uses less digits than its factorization.

12442648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 426 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The spelling of 12442648768 in words is "twelve billion, four hundred forty-two million, six hundred forty-eight thousand, seven hundred sixty-eight".