444204120420113 has 2 divisors, whose sum is σ = 444204120420114. Its totient is φ = 444204120420112.

The previous prime is 444204120420059. The next prime is 444204120420163. The reversal of 444204120420113 is 311024021402444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 438278537620609 + 5925582799504 = 20935103^2 + 2434252^2 .

It is a cyclic number.

It is not a de Polignac number, because 444204120420113 - 2¹⁰ = 444204120419089 is a prime.

It is a super-3 number, since 3×444204120420113³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 444204120420113.

It is not a weakly prime, because it can be changed into another prime (444204120420163) 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, 222102060210056 + 222102060210057.

It is an arithmetic number, because the mean of its divisors is an integer number (222102060210057).

Almost surely, 2^{444204120420113} is an apocalyptic number.

It is an amenable number.

444204120420113 is a deficient number, since it is larger than the sum of its proper divisors (1).

444204120420113 is an equidigital number, since it uses as much as digits as its factorization.

444204120420113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 444204120420113 its reverse (311024021402444), we get a palindrome (755228141822557).

The spelling of 444204120420113 in words is "four hundred forty-four trillion, two hundred four billion, one hundred twenty million, four hundred twenty thousand, one hundred thirteen".