8188228818 has 256 divisors, whose sum is σ = 23801057280. Its totient is φ = 2024870400.

The previous prime is 8188228817. The next prime is 8188228837.

8188228818 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8188228813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7329996 + ... + 7331112.

It is an arithmetic number, because the mean of its divisors is an integer number (92972880).

Almost surely, 2^8188228818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8188228818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11900528640).

8188228818 is an abundant number, since it is smaller than the sum of its proper divisors (15612828462).

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

8188228818 is a wasteful number, since it uses less digits than its factorization.

8188228818 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 54.

The square root of 8188228818 is about 90488.8325596037. The cubic root of 8188228818 is about 2015.5642969626.

The spelling of 8188228818 in words is "eight billion, one hundred eighty-eight million, two hundred twenty-eight thousand, eight hundred eighteen".