68243344344 has 768 divisors, whose sum is σ = 240929095680. Its totient is φ = 17675159040.

The previous prime is 68243344343. The next prime is 68243344357. The reversal of 68243344344 is 44344334286.

68243344344 is a `hidden beast` number, since 68 + 243 + 3 + 4 + 4 + 344 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68243344344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68243344343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 822208927 + ... + 822209009.

It is an arithmetic number, because the mean of its divisors is an integer number (313709760).

Almost surely, 2^68243344344 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 68243344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120464547840).

68243344344 is an abundant number, since it is smaller than the sum of its proper divisors (172685751336).

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

68243344344 is a wasteful number, since it uses less digits than its factorization.

68243344344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 226 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 45.

The spelling of 68243344344 in words is "sixty-eight billion, two hundred forty-three million, three hundred forty-four thousand, three hundred forty-four".