12648650960736 has 576 divisors, whose sum is σ = 44778710366208. Its totient is φ = 3304693776384.

The previous prime is 12648650960689. The next prime is 12648650960747. The reversal of 12648650960736 is 63706905684621.

12648650960736 is a `hidden beast` number, since 1 + 2 + 64 + 8 + 6 + 509 + 60 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×12648650960736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187057045 + ... + 187124651.

It is an arithmetic number, because the mean of its divisors is an integer number (77740816608).

It is a 1-persistent number, because it is pandigital, but 2⋅12648650960736 = 25297301921472 is not.

Almost surely, 2^{12648650960736} is an apocalyptic number.

12648650960736 is a gapful number since it is divisible by the number (16) 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 12648650960736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22389355183104).

12648650960736 is an abundant number, since it is smaller than the sum of its proper divisors (32130059405472).

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

12648650960736 is a wasteful number, since it uses less digits than its factorization.

12648650960736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67803 (or 67792 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 12648650960736 in words is "twelve trillion, six hundred forty-eight billion, six hundred fifty million, nine hundred sixty thousand, seven hundred thirty-six".