11089234368 has 280 divisors, whose sum is σ = 36014101200. Its totient is φ = 3358236672.

The previous prime is 11089234363. The next prime is 11089234381. The reversal of 11089234368 is 86343298011.

11089234368 is a `hidden beast` number, since 110 + 89 + 23 + 436 + 8 = 666.

It is a super-2 number, since 2×11089234368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11089234363) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2553543 + ... + 2557881.

It is an arithmetic number, because the mean of its divisors is an integer number (128621790).

Almost surely, 2^11089234368 is an apocalyptic number.

11089234368 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 11089234368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007050600).

11089234368 is an abundant number, since it is smaller than the sum of its proper divisors (24924866832).

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

11089234368 is a wasteful number, since it uses less digits than its factorization.

11089234368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11089234368 in words is "eleven billion, eighty-nine million, two hundred thirty-four thousand, three hundred sixty-eight".