8343741168 has 480 divisors, whose sum is σ = 30408768000. Its totient is φ = 2121541632.

The previous prime is 8343741137. The next prime is 8343741169. The reversal of 8343741168 is 8611473438.

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 (8343741169) 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 95 ways as a sum of consecutive naturals, for example, 15953355 + ... + 15953877.

It is an arithmetic number, because the mean of its divisors is an integer number (63351600).

Almost surely, 2^8343741168 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 8343741168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15204384000).

8343741168 is an abundant number, since it is smaller than the sum of its proper divisors (22065026832).

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

8343741168 is a wasteful number, since it uses less digits than its factorization.

8343741168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 571 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 8343741168 is about 91344.0811875624. The cubic root of 8343741168 is about 2028.2443480891.

The spelling of 8343741168 in words is "eight billion, three hundred forty-three million, seven hundred forty-one thousand, one hundred sixty-eight".