211404105641 has 2 divisors, whose sum is σ = 211404105642. Its totient is φ = 211404105640.

The previous prime is 211404105629. The next prime is 211404105691. The reversal of 211404105641 is 146501404112.

211404105641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165905509225 + 45498596416 = 407315^2 + 213304^2 .

It is a cyclic number.

It is not a de Polignac number, because 211404105641 - 2¹⁰ = 211404104617 is a prime.

It is not a weakly prime, because it can be changed into another prime (211404105691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105702052820 + 105702052821.

It is an arithmetic number, because the mean of its divisors is an integer number (105702052821).

Almost surely, 2^211404105641 is an apocalyptic number.

It is an amenable number.

211404105641 is a deficient number, since it is larger than the sum of its proper divisors (1).

211404105641 is an equidigital number, since it uses as much as digits as its factorization.

211404105641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 211404105641 its reverse (146501404112), we get a palindrome (357905509753).

The spelling of 211404105641 in words is "two hundred eleven billion, four hundred four million, one hundred five thousand, six hundred forty-one".