12258389664 has 144 divisors (see below), whose sum is σ = 36241732800. Its totient is φ = 4075868160.

The previous prime is 12258389653. The next prime is 12258389707. The reversal of 12258389664 is 46698385221.

12258389664 is a `hidden beast` number, since 1 + 2 + 258 + 389 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 12258389664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3489669 + ... + 3493179.

It is an arithmetic number, because the mean of its divisors is an integer number (251678700).

Almost surely, 2^12258389664 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 12258389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120866400).

12258389664 is an abundant number, since it is smaller than the sum of its proper divisors (23983343136).

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

12258389664 is an equidigital number, since it uses as much as digits as its factorization.

12258389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3965 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 12258389664 in words is "twelve billion, two hundred fifty-eight million, three hundred eighty-nine thousand, six hundred sixty-four".