18121614085241 has 2 divisors, whose sum is σ = 18121614085242. Its totient is φ = 18121614085240.

The previous prime is 18121614085153. The next prime is 18121614085243. The reversal of 18121614085241 is 14258041612181.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12092728051600 + 6028886033641 = 3477460^2 + 2455379^2 .

It is a cyclic number.

It is not a de Polignac number, because 18121614085241 - 2¹⁸ = 18121613823097 is a prime.

It is a Sophie Germain prime.

Together with 18121614085243, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 18121614085192 and 18121614085201.

It is not a weakly prime, because it can be changed into another prime (18121614085243) 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, 9060807042620 + 9060807042621.

It is an arithmetic number, because the mean of its divisors is an integer number (9060807042621).

Almost surely, 2^{18121614085241} is an apocalyptic number.

It is an amenable number.

18121614085241 is a deficient number, since it is larger than the sum of its proper divisors (1).

18121614085241 is an equidigital number, since it uses as much as digits as its factorization.

18121614085241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122880, while the sum is 44.

The spelling of 18121614085241 in words is "eighteen trillion, one hundred twenty-one billion, six hundred fourteen million, eighty-five thousand, two hundred forty-one".