12325504968 has 160 divisors (see below), whose sum is σ = 41775782400. Its totient is φ = 3314400768.

The previous prime is 12325504963. The next prime is 12325504969. The reversal of 12325504968 is 86940552321.

12325504968 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 550 + 4 + 96 + 8 = 666.

12325504968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12325504963) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2808 + ... + 157031.

It is an arithmetic number, because the mean of its divisors is an integer number (261098640).

Almost surely, 2^12325504968 is an apocalyptic number.

12325504968 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 12325504968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887891200).

12325504968 is an abundant number, since it is smaller than the sum of its proper divisors (29450277432).

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

12325504968 is a wasteful number, since it uses less digits than its factorization.

12325504968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159881 (or 159868 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 12325504968 in words is "twelve billion, three hundred twenty-five million, five hundred four thousand, nine hundred sixty-eight".