221533654397441 has 2 divisors, whose sum is σ = 221533654397442. Its totient is φ = 221533654397440.

The previous prime is 221533654397411. The next prime is 221533654397611. The reversal of 221533654397441 is 144793456335122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218528840163841 + 3004814233600 = 14782721^2 + 1733440^2 .

It is a cyclic number.

It is not a de Polignac number, because 221533654397441 - 2¹⁴ = 221533654381057 is a prime.

It is not a weakly prime, because it can be changed into another prime (221533654397411) 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, 110766827198720 + 110766827198721.

It is an arithmetic number, because the mean of its divisors is an integer number (110766827198721).

Almost surely, 2^{221533654397441} is an apocalyptic number.

It is an amenable number.

221533654397441 is a deficient number, since it is larger than the sum of its proper divisors (1).

221533654397441 is an equidigital number, since it uses as much as digits as its factorization.

221533654397441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65318400, while the sum is 59.

The spelling of 221533654397441 in words is "two hundred twenty-one trillion, five hundred thirty-three billion, six hundred fifty-four million, three hundred ninety-seven thousand, four hundred forty-one".