41654506472221 has 2 divisors, whose sum is σ = 41654506472222. Its totient is φ = 41654506472220.

The previous prime is 41654506472099. The next prime is 41654506472269. The reversal of 41654506472221 is 12227460545614.

41654506472221 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., 40920828569721 + 733677902500 = 6396939^2 + 856550^2 .

It is a cyclic number.

It is not a de Polignac number, because 41654506472221 - 2⁷ = 41654506472093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41654506472021) 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, 20827253236110 + 20827253236111.

It is an arithmetic number, because the mean of its divisors is an integer number (20827253236111).

Almost surely, 2^{41654506472221} is an apocalyptic number.

It is an amenable number.

41654506472221 is a deficient number, since it is larger than the sum of its proper divisors (1).

41654506472221 is an equidigital number, since it uses as much as digits as its factorization.

41654506472221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 41654506472221 in words is "forty-one trillion, six hundred fifty-four billion, five hundred six million, four hundred seventy-two thousand, two hundred twenty-one".