12852921345264 has 960 divisors, whose sum is σ = 49669170969600. Its totient is φ = 2995174195200.

The previous prime is 12852921345263. The next prime is 12852921345289. The reversal of 12852921345264 is 46254312925821.

12852921345264 is a `hidden beast` number, since 1 + 2 + 8 + 5 + 292 + 1 + 345 + 2 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12852921345264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12852921345263) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 756891654 + ... + 756908634.

It is an arithmetic number, because the mean of its divisors is an integer number (51738719760).

Almost surely, 2^{12852921345264} is an apocalyptic number.

12852921345264 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 12852921345264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24834585484800).

12852921345264 is an abundant number, since it is smaller than the sum of its proper divisors (36816249624336).

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

12852921345264 is a wasteful number, since it uses less digits than its factorization.

12852921345264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17174 (or 17165 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 12852921345264 in words is "twelve trillion, eight hundred fifty-two billion, nine hundred twenty-one million, three hundred forty-five thousand, two hundred sixty-four".