12864228264 has 96 divisors (see below), whose sum is σ = 35813330280. Its totient is φ = 4169797632.

The previous prime is 12864228239. The next prime is 12864228277. The reversal of 12864228264 is 46282246821.

12864228264 is a `hidden beast` number, since 12 + 86 + 422 + 82 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8255176164 + 4609052100 = 90858^2 + 67890^2 .

It is a nude number because it is divisible by every one of its digits.

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, 416292 + ... + 446124.

Almost surely, 2^12864228264 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 12864228264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17906665140).

12864228264 is an abundant number, since it is smaller than the sum of its proper divisors (22949102016).

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

12864228264 is a wasteful number, since it uses less digits than its factorization.

12864228264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30011 (or 30004 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 12864228264 in words is "twelve billion, eight hundred sixty-four million, two hundred twenty-eight thousand, two hundred sixty-four".