2214205475761 has 2 divisors, whose sum is σ = 2214205475762. Its totient is φ = 2214205475760.

The previous prime is 2214205475743. The next prime is 2214205475767. The reversal of 2214205475761 is 1675745024122.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1381812005025 + 832393470736 = 1175505^2 + 912356^2 .

It is a cyclic number.

It is not a de Polignac number, because 2214205475761 - 2⁷ = 2214205475633 is a prime.

It is not a weakly prime, because it can be changed into another prime (2214205475767) 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, 1107102737880 + 1107102737881.

It is an arithmetic number, because the mean of its divisors is an integer number (1107102737881).

Almost surely, 2^{2214205475761} is an apocalyptic number.

It is an amenable number.

2214205475761 is a deficient number, since it is larger than the sum of its proper divisors (1).

2214205475761 is an equidigital number, since it uses as much as digits as its factorization.

2214205475761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 940800, while the sum is 46.

The spelling of 2214205475761 in words is "two trillion, two hundred fourteen billion, two hundred five million, four hundred seventy-five thousand, seven hundred sixty-one".