11123232768 has 208 divisors, whose sum is σ = 34394336640. Its totient is φ = 3545726976.

The previous prime is 11123232767. The next prime is 11123232817. The reversal of 11123232768 is 86723232111.

It is a super-2 number, since 2×11123232768² (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 (11123232767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541430 + ... + 2545802.

Almost surely, 2^11123232768 is an apocalyptic number.

11123232768 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 11123232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17197168320).

11123232768 is an abundant number, since it is smaller than the sum of its proper divisors (23271103872).

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

11123232768 is an equidigital number, since it uses as much as digits as its factorization.

11123232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4401 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

Adding to 11123232768 its reverse (86723232111), we get a palindrome (97846464879).

The spelling of 11123232768 in words is "eleven billion, one hundred twenty-three million, two hundred thirty-two thousand, seven hundred sixty-eight".