20084349171641 has 2 divisors, whose sum is σ = 20084349171642. Its totient is φ = 20084349171640.

The previous prime is 20084349171613. The next prime is 20084349171643. The reversal of 20084349171641 is 14617194348002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19573368672400 + 510980499241 = 4424180^2 + 714829^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20084349171641 is a prime.

Together with 20084349171643, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20084349171641.

It is not a weakly prime, because it can be changed into another prime (20084349171643) 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 as a sum of consecutive naturals, namely, 10042174585820 + 10042174585821.

It is an arithmetic number, because the mean of its divisors is an integer number (10042174585821).

Almost surely, 2^{20084349171641} is an apocalyptic number.

It is an amenable number.

20084349171641 is a deficient number, since it is larger than the sum of its proper divisors (1).

20084349171641 is an equidigital number, since it uses as much as digits as its factorization.

20084349171641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 20084349171641 in words is "twenty trillion, eighty-four billion, three hundred forty-nine million, one hundred seventy-one thousand, six hundred forty-one".