12736226304 has 66 divisors (see below), whose sum is σ = 36775603670. Its totient is φ = 4245405696.

The previous prime is 12736226303. The next prime is 12736226309. The reversal of 12736226304 is 40362263721.

12736226304 is a `hidden beast` number, since 1 + 27 + 3 + 622 + 6 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11977113600 + 759112704 = 109440^2 + 27552^2 .

It is a super-2 number, since 2×12736226304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12736226303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 681769 + ... + 700200.

Almost surely, 2^12736226304 is an apocalyptic number.

It is an amenable number.

12736226304 is an abundant number, since it is smaller than the sum of its proper divisors (24039377366).

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

12736226304 is a wasteful number, since it uses less digits than its factorization.

12736226304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381995 (or 1381974 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 12736226304 in words is "twelve billion, seven hundred thirty-six million, two hundred twenty-six thousand, three hundred four".