11224088568 has 768 divisors, whose sum is σ = 43082150400. Its totient is φ = 2666926080.

The previous prime is 11224088567. The next prime is 11224088569. The reversal of 11224088568 is 86588042211.

11224088568 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 0 + 88 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (11224088567) and next prime (11224088569).

It is a super-3 number, since 3×11224088568³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224088567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104897971 + ... + 104898077.

It is an arithmetic number, because the mean of its divisors is an integer number (56096550).

Almost surely, 2^11224088568 is an apocalyptic number.

11224088568 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 11224088568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21541075200).

11224088568 is an abundant number, since it is smaller than the sum of its proper divisors (31858061832).

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

11224088568 is a wasteful number, since it uses less digits than its factorization.

11224088568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

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

The spelling of 11224088568 in words is "eleven billion, two hundred twenty-four million, eighty-eight thousand, five hundred sixty-eight".