82830289844349 has 24 divisors (see below), whose sum is σ = 120361758316800. Its totient is φ = 54888814362528.

The previous prime is 82830289844339. The next prime is 82830289844377. The reversal of 82830289844349 is 94344898203828.

82830289844349 is a `hidden beast` number, since 8 + 2 + 8 + 30 + 2 + 89 + 84 + 434 + 9 = 666.

It is not a de Polignac number, because 82830289844349 - 2¹¹ = 82830289842301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82830289844329) 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 23 ways as a sum of consecutive naturals, for example, 130093227 + ... + 130728375.

It is an arithmetic number, because the mean of its divisors is an integer number (5015073263200).

Almost surely, 2^{82830289844349} is an apocalyptic number.

It is an amenable number.

82830289844349 is a deficient number, since it is larger than the sum of its proper divisors (37531468472451).

82830289844349 is a wasteful number, since it uses less digits than its factorization.

82830289844349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722089 (or 722086 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 82830289844349 in words is "eighty-two trillion, eight hundred thirty billion, two hundred eighty-nine million, eight hundred forty-four thousand, three hundred forty-nine".