8122834368 has 168 divisors, whose sum is σ = 26086460400. Its totient is φ = 2394869760.

The previous prime is 8122834367. The next prime is 8122834411. The reversal of 8122834368 is 8634382218.

8122834368 is a `hidden beast` number, since 8 + 1 + 2 + 283 + 4 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8122834367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217108 + ... + 251756.

It is an arithmetic number, because the mean of its divisors is an integer number (155276550).

Almost surely, 2^8122834368 is an apocalyptic number.

8122834368 is a gapful number since it is divisible by the number (88) 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 8122834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043230200).

8122834368 is an abundant number, since it is smaller than the sum of its proper divisors (17963626032).

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

8122834368 is a wasteful number, since it uses less digits than its factorization.

8122834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34715 (or 34702 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 8122834368 is about 90126.7683210710. The cubic root of 8122834368 is about 2010.1842498360.

The spelling of 8122834368 in words is "eight billion, one hundred twenty-two million, eight hundred thirty-four thousand, three hundred sixty-eight".