12666651264 has 256 divisors, whose sum is σ = 41067648000. Its totient is φ = 3825626112.

The previous prime is 12666651253. The next prime is 12666651301. The reversal of 12666651264 is 46215666621.

12666651264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 1506079 + ... + 1514465.

It is an arithmetic number, because the mean of its divisors is an integer number (160420500).

Almost surely, 2^12666651264 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 12666651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533824000).

12666651264 is an abundant number, since it is smaller than the sum of its proper divisors (28400996736).

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

12666651264 is a wasteful number, since it uses less digits than its factorization.

12666651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8434 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12666651264 in words is "twelve billion, six hundred sixty-six million, six hundred fifty-one thousand, two hundred sixty-four".