11226288672 has 36 divisors (see below), whose sum is σ = 31924759230. Its totient is φ = 3742096128.

The previous prime is 11226288637. The next prime is 11226288709. The reversal of 11226288672 is 27688262211.

11226288672 is a `hidden beast` number, since 1 + 12 + 2 + 628 + 8 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11007367056 + 218921616 = 104916^2 + 14796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 19489797 + ... + 19490372.

Almost surely, 2^11226288672 is an apocalyptic number.

11226288672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11226288672 is an abundant number, since it is smaller than the sum of its proper divisors (20698470558).

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

11226288672 is a wasteful number, since it uses less digits than its factorization.

11226288672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38980185 (or 38980174 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 11226288672 in words is "eleven billion, two hundred twenty-six million, two hundred eighty-eight thousand, six hundred seventy-two".