211014711641 has 2 divisors, whose sum is σ = 211014711642. Its totient is φ = 211014711640.

The previous prime is 211014711631. The next prime is 211014711679. The reversal of 211014711641 is 146117410112.

211014711641 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., 209371220041 + 1643491600 = 457571^2 + 40540^2 .

It is a cyclic number.

It is not a de Polignac number, because 211014711641 - 2¹⁰ = 211014710617 is a prime.

It is not a weakly prime, because it can be changed into another prime (211014711631) 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, 105507355820 + 105507355821.

It is an arithmetic number, because the mean of its divisors is an integer number (105507355821).

Almost surely, 2^211014711641 is an apocalyptic number.

It is an amenable number.

211014711641 is a deficient number, since it is larger than the sum of its proper divisors (1).

211014711641 is an equidigital number, since it uses as much as digits as its factorization.

211014711641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 29.

The spelling of 211014711641 in words is "two hundred eleven billion, fourteen million, seven hundred eleven thousand, six hundred forty-one".