11223668736 has 648 divisors, whose sum is σ = 40988607660. Its totient is φ = 2947940352.

The previous prime is 11223668717. The next prime is 11223668747. The reversal of 11223668736 is 63786632211.

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

Its product of digits (435456) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 11223668691 and 11223668700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 261015531 + ... + 261015573.

Almost surely, 2^11223668736 is an apocalyptic number.

11223668736 is a gapful number since it is divisible by the number (16) 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 11223668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20494303830).

11223668736 is an abundant number, since it is smaller than the sum of its proper divisors (29764938924).

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

11223668736 is a wasteful number, since it uses less digits than its factorization.

11223668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 11223668736 in words is "eleven billion, two hundred twenty-three million, six hundred sixty-eight thousand, seven hundred thirty-six".