8822112288 has 96 divisors (see below), whose sum is σ = 25296509952. Its totient is φ = 2669856000.

The previous prime is 8822112263. The next prime is 8822112307.

8822112288 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864013 + ... + 874163.

It is an arithmetic number, because the mean of its divisors is an integer number (263505312).

Almost surely, 2^8822112288 is an apocalyptic number.

8822112288 is a gapful number since it is divisible by the number (88) 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 8822112288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648254976).

8822112288 is an abundant number, since it is smaller than the sum of its proper divisors (16474397664).

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

8822112288 is a wasteful number, since it uses less digits than its factorization.

8822112288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10998 (or 10990 counting only the distinct ones).

The product of its digits is 65536, while the sum is 42.

The square root of 8822112288 is about 93926.1001426121. The cubic root of 8822112288 is about 2066.2880326581.

The spelling of 8822112288 in words is "eight billion, eight hundred twenty-two million, one hundred twelve thousand, two hundred eighty-eight".