12305814528 has 264 divisors, whose sum is σ = 39484173600. Its totient is φ = 3393503232.

The previous prime is 12305814523. The next prime is 12305814539. The reversal of 12305814528 is 82541850321.

12305814528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12305814523) 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 23 ways as a sum of consecutive naturals, for example, 4363903 + ... + 4366721.

Almost surely, 2^12305814528 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 12305814528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19742086800).

12305814528 is an abundant number, since it is smaller than the sum of its proper divisors (27178359072).

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

12305814528 is a wasteful number, since it uses less digits than its factorization.

12305814528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 12305814528 in words is "twelve billion, three hundred five million, eight hundred fourteen thousand, five hundred twenty-eight".