82348311286777 has 2 divisors, whose sum is σ = 82348311286778. Its totient is φ = 82348311286776.

The previous prime is 82348311286771. The next prime is 82348311286781. The reversal of 82348311286777 is 77768211384328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75834070892176 + 6514240394601 = 8708276^2 + 2552301^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82348311286777 is a prime.

It is not a weakly prime, because it can be changed into another prime (82348311286771) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41174155643388 + 41174155643389.

It is an arithmetic number, because the mean of its divisors is an integer number (41174155643389).

Almost surely, 2^{82348311286777} is an apocalyptic number.

It is an amenable number.

82348311286777 is a deficient number, since it is larger than the sum of its proper divisors (1).

82348311286777 is an equidigital number, since it uses as much as digits as its factorization.

82348311286777 is an evil number, because the sum of its binary digits is even.

The product of its digits is 151732224, while the sum is 67.

The spelling of 82348311286777 in words is "eighty-two trillion, three hundred forty-eight billion, three hundred eleven million, two hundred eighty-six thousand, seven hundred seventy-seven".