82705168344 has 64 divisors (see below), whose sum is σ = 211748423040. Its totient is φ = 26904729600.

The previous prime is 82705168331. The next prime is 82705168349. The reversal of 82705168344 is 44386150728.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82705168293 and 82705168302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82705168349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1223019 + ... + 1288869.

It is an arithmetic number, because the mean of its divisors is an integer number (3308569110).

Almost surely, 2^82705168344 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 82705168344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105874211520).

82705168344 is an abundant number, since it is smaller than the sum of its proper divisors (129043254696).

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

82705168344 is a wasteful number, since it uses less digits than its factorization.

82705168344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67120 (or 67116 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 82705168344 in words is "eighty-two billion, seven hundred five million, one hundred sixty-eight thousand, three hundred forty-four".