12648244224 has 264 divisors, whose sum is σ = 42357899584. Its totient is φ = 3284582400.

The previous prime is 12648244223. The next prime is 12648244247. The reversal of 12648244224 is 42244284621.

It is a tau number, because it is divible by the number of its divisors (264).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12648244223) 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, 2599554 + ... + 2604414.

Almost surely, 2^12648244224 is an apocalyptic number.

12648244224 is a gapful number since it is divisible by the number (14) 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 12648244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21178949792).

12648244224 is an abundant number, since it is smaller than the sum of its proper divisors (29709655360).

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

12648244224 is a wasteful number, since it uses less digits than its factorization.

12648244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4884 counting only the distinct ones).

The product of its digits is 196608, while the sum is 39.

The spelling of 12648244224 in words is "twelve billion, six hundred forty-eight million, two hundred forty-four thousand, two hundred twenty-four".