18200191001141 has 2 divisors, whose sum is σ = 18200191001142. Its totient is φ = 18200191001140.

The previous prime is 18200191001053. The next prime is 18200191001143. The reversal of 18200191001141 is 14110019100281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12069169313041 + 6131021688100 = 3474071^2 + 2476090^2 .

It is a cyclic number.

It is not a de Polignac number, because 18200191001141 - 2¹⁸ = 18200190738997 is a prime.

Together with 18200191001143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (18200191001143) 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, 9100095500570 + 9100095500571.

It is an arithmetic number, because the mean of its divisors is an integer number (9100095500571).

Almost surely, 2^{18200191001141} is an apocalyptic number.

It is an amenable number.

18200191001141 is a deficient number, since it is larger than the sum of its proper divisors (1).

18200191001141 is an equidigital number, since it uses as much as digits as its factorization.

18200191001141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 18200191001141 in words is "eighteen trillion, two hundred billion, one hundred ninety-one million, one thousand, one hundred forty-one".