8242456992 has 144 divisors (see below), whose sum is σ = 27457188192. Its totient is φ = 2140884480.

The previous prime is 8242456931. The next prime is 8242456997. The reversal of 8242456992 is 2996542428.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8242456997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27903 + ... + 131390.

It is an arithmetic number, because the mean of its divisors is an integer number (190674918).

Almost surely, 2^8242456992 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 8242456992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13728594096).

8242456992 is an abundant number, since it is smaller than the sum of its proper divisors (19214731200).

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

8242456992 is a wasteful number, since it uses less digits than its factorization.

8242456992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159331 (or 159316 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 8242456992 is about 90787.9782350064. The cubic root of 8242456992 is about 2020.0040022141.

The spelling of 8242456992 in words is "eight billion, two hundred forty-two million, four hundred fifty-six thousand, nine hundred ninety-two".