12889923304608 has 2304 divisors, whose sum is σ = 50595110092800. Its totient is φ = 3023249080320.

The previous prime is 12889923304537. The next prime is 12889923304619. The reversal of 12889923304608 is 80640332998821.

12889923304608 is a `hidden beast` number, since 1 + 2 + 8 + 89 + 92 + 3 + 3 + 0 + 460 + 8 = 666.

12889923304608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56783802991 + ... + 56783803217.

It is an arithmetic number, because the mean of its divisors is an integer number (21959683200).

Almost surely, 2^{12889923304608} is an apocalyptic number.

12889923304608 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 12889923304608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25297555046400).

12889923304608 is an abundant number, since it is smaller than the sum of its proper divisors (37705186788192).

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

12889923304608 is a wasteful number, since it uses less digits than its factorization.

12889923304608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 12889923304608 in words is "twelve trillion, eight hundred eighty-nine billion, nine hundred twenty-three million, three hundred four thousand, six hundred eight".