82906674472441 has 2 divisors, whose sum is σ = 82906674472442. Its totient is φ = 82906674472440.

The previous prime is 82906674472439. The next prime is 82906674472469. The reversal of 82906674472441 is 14427447660928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82868250240000 + 38424232441 = 9103200^2 + 196021^2 .

It is a cyclic number.

It is not a de Polignac number, because 82906674472441 - 2¹ = 82906674472439 is a prime.

Together with 82906674472439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (82906674472841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41453337236220 + 41453337236221.

It is an arithmetic number, because the mean of its divisors is an integer number (41453337236221).

Almost surely, 2^{82906674472441} is an apocalyptic number.

It is an amenable number.

82906674472441 is a deficient number, since it is larger than the sum of its proper divisors (1).

82906674472441 is an equidigital number, since it uses as much as digits as its factorization.

82906674472441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 130056192, while the sum is 64.

The spelling of 82906674472441 in words is "eighty-two trillion, nine hundred six billion, six hundred seventy-four million, four hundred seventy-two thousand, four hundred forty-one".