8142228864 has 960 divisors, whose sum is σ = 32417003520. Its totient is φ = 2003097600.

The previous prime is 8142228811. The next prime is 8142228893. The reversal of 8142228864 is 4688222418.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 173238889 + ... + 173238935.

It is an arithmetic number, because the mean of its divisors is an integer number (33767712).

Almost surely, 2^8142228864 is an apocalyptic number.

8142228864 is a gapful number since it is divisible by the number (84) 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 8142228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208501760).

8142228864 is an abundant number, since it is smaller than the sum of its proper divisors (24274774656).

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

8142228864 is a wasteful number, since it uses less digits than its factorization.

8142228864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 101 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 8142228864 is about 90234.2998199687. The cubic root of 8142228864 is about 2011.7828512187.

The spelling of 8142228864 in words is "eight billion, one hundred forty-two million, two hundred twenty-eight thousand, eight hundred sixty-four".