221853962849 has 2 divisors, whose sum is σ = 221853962850. Its totient is φ = 221853962848.

The previous prime is 221853962839. The next prime is 221853962851. The reversal of 221853962849 is 948269358122.

221853962849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 214836885025 + 7017077824 = 463505^2 + 83768^2 .

It is a cyclic number.

It is not a de Polignac number, because 221853962849 - 2²⁰ = 221852914273 is a prime.

Together with 221853962851, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221853962809) 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, 110926981424 + 110926981425.

It is an arithmetic number, because the mean of its divisors is an integer number (110926981425).

Almost surely, 2^221853962849 is an apocalyptic number.

It is an amenable number.

221853962849 is a deficient number, since it is larger than the sum of its proper divisors (1).

221853962849 is an equidigital number, since it uses as much as digits as its factorization.

221853962849 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14929920, while the sum is 59.

The spelling of 221853962849 in words is "two hundred twenty-one billion, eight hundred fifty-three million, nine hundred sixty-two thousand, eight hundred forty-nine".