83744621268 has 144 divisors (see below), whose sum is σ = 248925745152. Its totient is φ = 21445300800.

The previous prime is 83744621251. The next prime is 83744621273. The reversal of 83744621268 is 86212644738.

It is a self number, because there is not a number n which added to its sum of digits gives 83744621268.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663621 + ... + 779667.

It is an arithmetic number, because the mean of its divisors is an integer number (1728651008).

Almost surely, 2^83744621268 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 83744621268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124462872576).

83744621268 is an abundant number, since it is smaller than the sum of its proper divisors (165181123884).

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

83744621268 is a wasteful number, since it uses less digits than its factorization.

83744621268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116154 (or 116141 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 83744621268 in words is "eighty-three billion, seven hundred forty-four million, six hundred twenty-one thousand, two hundred sixty-eight".