8242311168 has 702 divisors, whose sum is σ = 31100276844. Its totient is φ = 2173796352.

The previous prime is 8242311163. The next prime is 8242311193. The reversal of 8242311168 is 8611132428.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (702).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (8242311163) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 634023930 + ... + 634023942.

Almost surely, 2^8242311168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8242311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550138422).

8242311168 is an abundant number, since it is smaller than the sum of its proper divisors (22857965676).

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

8242311168 is an equidigital number, since it uses as much as digits as its factorization.

8242311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 25 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 8242311168 is about 90787.1751295303. The cubic root of 8242311168 is about 2019.9920896334.

The spelling of 8242311168 in words is "eight billion, two hundred forty-two million, three hundred eleven thousand, one hundred sixty-eight".