82468342241 has 2 divisors, whose sum is σ = 82468342242. Its totient is φ = 82468342240.

The previous prime is 82468342223. The next prime is 82468342249. The reversal of 82468342241 is 14224386428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81444598225 + 1023744016 = 285385^2 + 31996^2 .

It is a cyclic number.

It is not a de Polignac number, because 82468342241 - 2¹⁰ = 82468341217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82468342192 and 82468342201.

It is not a weakly prime, because it can be changed into another prime (82468342249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41234171120 + 41234171121.

It is an arithmetic number, because the mean of its divisors is an integer number (41234171121).

Almost surely, 2^82468342241 is an apocalyptic number.

It is an amenable number.

82468342241 is a deficient number, since it is larger than the sum of its proper divisors (1).

82468342241 is an equidigital number, since it uses as much as digits as its factorization.

82468342241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 589824, while the sum is 44.

The spelling of 82468342241 in words is "eighty-two billion, four hundred sixty-eight million, three hundred forty-two thousand, two hundred forty-one".