82266806842641 has 6 divisors (see below), whose sum is σ = 118829832106050. Its totient is φ = 54844537895088.

The previous prime is 82266806842637. The next prime is 82266806842651. The reversal of 82266806842641 is 14624860866228.

It can be written as a sum of positive squares in only one way, i.e., 46838967210000 + 35427839632641 = 6843900^2 + 5952129^2 .

It is not a de Polignac number, because 82266806842641 - 2² = 82266806842637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82266806842651) 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 5 ways as a sum of consecutive naturals, for example, 4570378157916 + ... + 4570378157933.

It is an arithmetic number, because the mean of its divisors is an integer number (19804972017675).

Almost surely, 2^{82266806842641} is an apocalyptic number.

It is an amenable number.

82266806842641 is a deficient number, since it is larger than the sum of its proper divisors (36563025263409).

82266806842641 is a wasteful number, since it uses less digits than its factorization.

82266806842641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140756315855 (or 9140756315852 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 82266806842641 in words is "eighty-two trillion, two hundred sixty-six billion, eight hundred six million, eight hundred forty-two thousand, six hundred forty-one".