12304028905344 has 384 divisors, whose sum is σ = 41032422063360. Its totient is φ = 3637550592000.

The previous prime is 12304028905331. The next prime is 12304028905361. The reversal of 12304028905344 is 44350982040321.

12304028905344 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 4 + 0 + 28 + 90 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 12304028905344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13589349 + ... + 14466459.

It is an arithmetic number, because the mean of its divisors is an integer number (106855265790).

Almost surely, 2^{12304028905344} 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 12304028905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20516211031680).

12304028905344 is an abundant number, since it is smaller than the sum of its proper divisors (28728393158016).

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

12304028905344 is an equidigital number, since it uses as much as digits as its factorization.

12304028905344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877192 (or 877168 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 12304028905344 in words is "twelve trillion, three hundred four billion, twenty-eight million, nine hundred five thousand, three hundred forty-four".