11126818368 has 168 divisors, whose sum is σ = 34216116480. Its totient is φ = 3580899840.

The previous prime is 11126818327. The next prime is 11126818369. The reversal of 11126818368 is 86381862111.

11126818368 is a `hidden beast` number, since 1 + 11 + 268 + 18 + 368 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11126818369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438673 + ... + 463343.

It is an arithmetic number, because the mean of its divisors is an integer number (203667360).

Almost surely, 2^11126818368 is an apocalyptic number.

11126818368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11126818368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108058240).

11126818368 is an abundant number, since it is smaller than the sum of its proper divisors (23089298112).

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

11126818368 is an equidigital number, since it uses as much as digits as its factorization.

11126818368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24727 (or 24705 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11126818368 in words is "eleven billion, one hundred twenty-six million, eight hundred eighteen thousand, three hundred sixty-eight".