11265644656 has 40 divisors (see below), whose sum is σ = 24989338080. Its totient is φ = 4819620864.

The previous prime is 11265644647. The next prime is 11265644657. The reversal of 11265644656 is 65644656211.

11265644656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11265644656² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11265644657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24661 + ... + 152116.

It is an arithmetic number, because the mean of its divisors is an integer number (624733452).

Almost surely, 2^11265644656 is an apocalyptic number.

11265644656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11265644656 is an abundant number, since it is smaller than the sum of its proper divisors (13723693424).

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

11265644656 is a wasteful number, since it uses less digits than its factorization.

11265644656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177361 (or 177355 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 46.

The spelling of 11265644656 in words is "eleven billion, two hundred sixty-five million, six hundred forty-four thousand, six hundred fifty-six".