12039689664 has 336 divisors, whose sum is σ = 37837433088. Its totient is φ = 3788218368.

The previous prime is 12039689653. The next prime is 12039689671. The reversal of 12039689664 is 46698693021.

12039689664 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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12039689664.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 34696339 + ... + 34696685.

It is an arithmetic number, because the mean of its divisors is an integer number (112611408).

Almost surely, 2^12039689664 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 12039689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18918716544).

12039689664 is an abundant number, since it is smaller than the sum of its proper divisors (25797743424).

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

12039689664 is an equidigital number, since it uses as much as digits as its factorization.

12039689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12039689664 in words is "twelve billion, thirty-nine million, six hundred eighty-nine thousand, six hundred sixty-four".