11123643168 has 360 divisors, whose sum is σ = 36710782416. Its totient is φ = 3276806400.

The previous prime is 11123643149. The next prime is 11123643191. The reversal of 11123643168 is 86134632111.

11123643168 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 3 + 643 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 59 ways as a sum of consecutive naturals, for example, 52718583 + ... + 52718793.

Almost surely, 2^11123643168 is an apocalyptic number.

11123643168 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 11123643168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355391208).

11123643168 is an abundant number, since it is smaller than the sum of its proper divisors (25587139248).

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

11123643168 is a wasteful number, since it uses less digits than its factorization.

11123643168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 270 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 11123643168 in words is "eleven billion, one hundred twenty-three million, six hundred forty-three thousand, one hundred sixty-eight".