18829319297561 has 2 divisors, whose sum is σ = 18829319297562. Its totient is φ = 18829319297560.

The previous prime is 18829319297539. The next prime is 18829319297563. The reversal of 18829319297561 is 16579291392881.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13349202166336 + 5480117131225 = 3653656^2 + 2340965^2 .

It is a cyclic number.

It is not a de Polignac number, because 18829319297561 - 2⁴² = 14431272786457 is a prime.

Together with 18829319297563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (18829319297563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9414659648780 + 9414659648781.

It is an arithmetic number, because the mean of its divisors is an integer number (9414659648781).

Almost surely, 2^{18829319297561} is an apocalyptic number.

It is an amenable number.

18829319297561 is a deficient number, since it is larger than the sum of its proper divisors (1).

18829319297561 is an equidigital number, since it uses as much as digits as its factorization.

18829319297561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117573120, while the sum is 71.

The spelling of 18829319297561 in words is "eighteen trillion, eight hundred twenty-nine billion, three hundred nineteen million, two hundred ninety-seven thousand, five hundred sixty-one".