82191879706289 has 4 divisors (see below), whose sum is σ = 82191920538624. Its totient is φ = 82191838873956.

The previous prime is 82191879706241. The next prime is 82191879706309. The reversal of 82191879706289 is 98260797819128.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82191879706289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82191879706789) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17231177 + ... + 21477830.

It is an arithmetic number, because the mean of its divisors is an integer number (20547980134656).

Almost surely, 2^{82191879706289} is an apocalyptic number.

It is an amenable number.

82191879706289 is a deficient number, since it is larger than the sum of its proper divisors (40832335).

82191879706289 is a wasteful number, since it uses less digits than its factorization.

82191879706289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40832334.

The product of its (nonzero) digits is 438939648, while the sum is 77.

The spelling of 82191879706289 in words is "eighty-two trillion, one hundred ninety-one billion, eight hundred seventy-nine million, seven hundred six thousand, two hundred eighty-nine".