82338064182 has 288 divisors, whose sum is σ = 213915147264. Its totient is φ = 22646131200.

The previous prime is 82338064169. The next prime is 82338064187. The reversal of 82338064182 is 28146083328.

82338064182 is a `hidden beast` number, since 82 + 338 + 0 + 64 + 182 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82338064187) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293017882 + ... + 293018162.

It is an arithmetic number, because the mean of its divisors is an integer number (742760928).

Almost surely, 2^82338064182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82338064182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106957573632).

82338064182 is an abundant number, since it is smaller than the sum of its proper divisors (131577083082).

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

82338064182 is a wasteful number, since it uses less digits than its factorization.

82338064182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 404 counting only the distinct ones).

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

The spelling of 82338064182 in words is "eighty-two billion, three hundred thirty-eight million, sixty-four thousand, one hundred eighty-two".