221412436246753 has 2 divisors, whose sum is σ = 221412436246754. Its totient is φ = 221412436246752.

The previous prime is 221412436246709. The next prime is 221412436246789. The reversal of 221412436246753 is 357642634214122.

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., 160894180941649 + 60518255305104 = 12684407^2 + 7779348^2 .

It is a cyclic number.

It is not a de Polignac number, because 221412436246753 - 2¹⁷ = 221412436115681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221412436246753.

It is not a weakly prime, because it can be changed into another prime (221412436246853) 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, 110706218123376 + 110706218123377.

It is an arithmetic number, because the mean of its divisors is an integer number (110706218123377).

Almost surely, 2^{221412436246753} is an apocalyptic number.

It is an amenable number.

221412436246753 is a deficient number, since it is larger than the sum of its proper divisors (1).

221412436246753 is an equidigital number, since it uses as much as digits as its factorization.

221412436246753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11612160, while the sum is 52.

The spelling of 221412436246753 in words is "two hundred twenty-one trillion, four hundred twelve billion, four hundred thirty-six million, two hundred forty-six thousand, seven hundred fifty-three".