208817544067441 has 2 divisors, whose sum is σ = 208817544067442. Its totient is φ = 208817544067440.

The previous prime is 208817544067417. The next prime is 208817544067459. The reversal of 208817544067441 is 144760445718802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173151912038400 + 35665632029041 = 13158720^2 + 5972071^2 .

It is a cyclic number.

It is not a de Polignac number, because 208817544067441 - 2⁵ = 208817544067409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 208817544067441.

It is not a weakly prime, because it can be changed into another prime (208817544067541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104408772033720 + 104408772033721.

It is an arithmetic number, because the mean of its divisors is an integer number (104408772033721).

Almost surely, 2^{208817544067441} is an apocalyptic number.

It is an amenable number.

208817544067441 is a deficient number, since it is larger than the sum of its proper divisors (1).

208817544067441 is an equidigital number, since it uses as much as digits as its factorization.

208817544067441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48168960, while the sum is 61.

The spelling of 208817544067441 in words is "two hundred eight trillion, eight hundred seventeen billion, five hundred forty-four million, sixty-seven thousand, four hundred forty-one".