12352945824 has 216 divisors, whose sum is σ = 38634860628. Its totient is φ = 3874314240.

The previous prime is 12352945811. The next prime is 12352945853. The reversal of 12352945824 is 42854925321.

12352945824 is a `hidden beast` number, since 1 + 2 + 3 + 529 + 45 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12350321424 + 2624400 = 111132^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 12352945824.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3567454 + ... + 3570914.

Almost surely, 2^12352945824 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 12352945824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19317430314).

12352945824 is an abundant number, since it is smaller than the sum of its proper divisors (26281914804).

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

12352945824 is an frugal number, since it uses more digits than its factorization.

12352945824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3483 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 12352945824 in words is "twelve billion, three hundred fifty-two million, nine hundred forty-five thousand, eight hundred twenty-four".