8242164812 has 48 divisors (see below), whose sum is σ = 17369614080. Its totient is φ = 3343032000.

The previous prime is 8242164811. The next prime is 8242164829. The reversal of 8242164812 is 2184612428.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (8242164811) 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 15 ways as a sum of consecutive naturals, for example, 551762 + ... + 566502.

It is an arithmetic number, because the mean of its divisors is an integer number (361866960).

Almost surely, 2^8242164812 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 8242164812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8684807040).

8242164812 is an abundant number, since it is smaller than the sum of its proper divisors (9127449268).

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

8242164812 is a wasteful number, since it uses less digits than its factorization.

8242164812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15822 (or 15820 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 8242164812 is about 90786.3690869946. The cubic root of 8242164812 is about 2019.9801334516.

The spelling of 8242164812 in words is "eight billion, two hundred forty-two million, one hundred sixty-four thousand, eight hundred twelve".