11165626368 has 312 divisors, whose sum is σ = 36279184032. Its totient is φ = 3282960384.

The previous prime is 11165626363. The next prime is 11165626403. The reversal of 11165626368 is 86362656111.

11165626368 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 5 + 6 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11165626361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11021830 + ... + 11022842.

It is an arithmetic number, because the mean of its divisors is an integer number (116279436).

Almost surely, 2^11165626368 is an apocalyptic number.

11165626368 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 11165626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139592016).

11165626368 is an abundant number, since it is smaller than the sum of its proper divisors (25113557664).

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

11165626368 is a wasteful number, since it uses less digits than its factorization.

11165626368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1054 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 11165626368 in words is "eleven billion, one hundred sixty-five million, six hundred twenty-six thousand, three hundred sixty-eight".