11165104224288 has 144 divisors (see below), whose sum is σ = 36290864937600. Its totient is φ = 3189653849088.

The previous prime is 11165104224283. The next prime is 11165104224319. The reversal of 11165104224288 is 88242240156111.

11165104224288 is a `hidden beast` number, since 1 + 1 + 16 + 510 + 4 + 2 + 2 + 42 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11165104224283) 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, 17013556 + ... + 17657612.

It is an arithmetic number, because the mean of its divisors is an integer number (252019895400).

Almost surely, 2^{11165104224288} is an apocalyptic number.

11165104224288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11165104224288 is an abundant number, since it is smaller than the sum of its proper divisors (25125760713312).

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

11165104224288 is a wasteful number, since it uses less digits than its factorization.

11165104224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652679 (or 652668 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 11165104224288 in words is "eleven trillion, one hundred sixty-five billion, one hundred four million, two hundred twenty-four thousand, two hundred eighty-eight".