12648221342784 has 168 divisors, whose sum is σ = 36477475594560. Its totient is φ = 4190075937792.

The previous prime is 12648221342749. The next prime is 12648221342797. The reversal of 12648221342784 is 48724312284621.

12648221342784 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 221 + 342 + 78 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12648221342784.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 868510287 + ... + 868524849.

It is an arithmetic number, because the mean of its divisors is an integer number (217127830920).

Almost surely, 2^{12648221342784} 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 12648221342784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18238737797280).

12648221342784 is an abundant number, since it is smaller than the sum of its proper divisors (23829254251776).

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

12648221342784 is a wasteful number, since it uses less digits than its factorization.

12648221342784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23777 (or 23764 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 12648221342784 in words is "twelve trillion, six hundred forty-eight billion, two hundred twenty-one million, three hundred forty-two thousand, seven hundred eighty-four".