11013735168 has 216 divisors, whose sum is σ = 34209855680. Its totient is φ = 3396556800.

The previous prime is 11013735133. The next prime is 11013735191. The reversal of 11013735168 is 86153731011.

11013735168 is a `hidden beast` number, since 1 + 1 + 0 + 137 + 3 + 516 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879443 + ... + 1885293.

Almost surely, 2^11013735168 is an apocalyptic number.

11013735168 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 11013735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104927840).

11013735168 is an abundant number, since it is smaller than the sum of its proper divisors (23196120512).

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

11013735168 is a wasteful number, since it uses less digits than its factorization.

11013735168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5918 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11013735168 in words is "eleven billion, thirteen million, seven hundred thirty-five thousand, one hundred sixty-eight".