12189926464 has 63 divisors (see below), whose sum is σ = 24927651567. Its totient is φ = 5914335744.

The previous prime is 12189926459. The next prime is 12189926491. The reversal of 12189926464 is 46462998121.

The square root of 12189926464 is 110408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2788684864 + 9401241600 = 52808^2 + 96960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32680582 + ... + 32680954.

It is an arithmetic number, because the mean of its divisors is an integer number (395677009).

Almost surely, 2^12189926464 is an apocalyptic number.

12189926464 is the 110408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12189926464

12189926464 is an abundant number, since it is smaller than the sum of its proper divisors (12737725103).

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

12189926464 is an frugal number, since it uses more digits than its factorization.

12189926464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 412 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 12189926464 in words is "twelve billion, one hundred eighty-nine million, nine hundred twenty-six thousand, four hundred sixty-four".