11123868672 has 880 divisors, whose sum is σ = 42800313600. Its totient is φ = 2861236224.

The previous prime is 11123868671. The next prime is 11123868677. The reversal of 11123868672 is 27686832111.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (11123868671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 483646453 + ... + 483646475.

It is an arithmetic number, because the mean of its divisors is an integer number (48636720).

Almost surely, 2^11123868672 is an apocalyptic number.

11123868672 is a gapful number since it is divisible by the number (12) 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 11123868672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21400156800).

11123868672 is an abundant number, since it is smaller than the sum of its proper divisors (31676444928).

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

11123868672 is an equidigital number, since it uses as much as digits as its factorization.

11123868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11123868672 in words is "eleven billion, one hundred twenty-three million, eight hundred sixty-eight thousand, six hundred seventy-two".