12648545702208 has 1344 divisors, whose sum is σ = 42743251998720. Its totient is φ = 3546818150400.

The previous prime is 12648545702201. The next prime is 12648545702251. The reversal of 12648545702208 is 80220754584621.

12648545702208 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 545 + 70 + 2 + 20 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12648545702201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69881467878 + ... + 69881468058.

It is an arithmetic number, because the mean of its divisors is an integer number (31803014880).

Almost surely, 2^{12648545702208} is an apocalyptic number.

12648545702208 is a gapful number since it is divisible by the number (18) 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 12648545702208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21371625999360).

12648545702208 is an abundant number, since it is smaller than the sum of its proper divisors (30094706296512).

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

12648545702208 is a wasteful number, since it uses less digits than its factorization.

12648545702208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 12648545702208 in words is "twelve trillion, six hundred forty-eight billion, five hundred forty-five million, seven hundred two thousand, two hundred eight".