12332795428864 has 133 divisors (see below), whose sum is σ = 26035851772267. Its totient is φ = 5841850466304.

The previous prime is 12332795428813. The next prime is 12332795428901. The reversal of 12332795428864 is 46882459723321.

The square root of 12332795428864 is 3511808.

The cubic root of 12332795428864 is 23104.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (139345920) is a multiple of the sum of its prime divisors (21).

It is a junction number, because it is equal to n+sod(n) for n = 12332795428796 and 12332795428805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 649094496247 + ... + 649094496265.

Almost surely, 2^{12332795428864} is an apocalyptic number.

12332795428864 is the 3511808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332795428864

12332795428864 is an abundant number, since it is smaller than the sum of its proper divisors (13703056343403).

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

12332795428864 is an frugal number, since it uses more digits than its factorization.

12332795428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 21 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 64.

Multiplying 12332795428864 by its sum of digits (64), we get a 6-th power (789298907447296 = 304⁶).

12332795428864 divided by its sum of digits (64) gives a 6-th power (192699928576 = 76⁶).

The spelling of 12332795428864 in words is "twelve trillion, three hundred thirty-two billion, seven hundred ninety-five million, four hundred twenty-eight thousand, eight hundred sixty-four".