444114110241101 has 2 divisors, whose sum is σ = 444114110241102. Its totient is φ = 444114110241100.

The previous prime is 444114110241089. The next prime is 444114110241119. The reversal of 444114110241101 is 101142011411444.

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., 340672477009225 + 103441633231876 = 18457315^2 + 10170626^2 .

It is a cyclic number.

It is not a de Polignac number, because 444114110241101 - 2⁴² = 439716063729997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444114110241121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222057055120550 + 222057055120551.

It is an arithmetic number, because the mean of its divisors is an integer number (222057055120551).

Almost surely, 2^{444114110241101} is an apocalyptic number.

It is an amenable number.

444114110241101 is a deficient number, since it is larger than the sum of its proper divisors (1).

444114110241101 is an equidigital number, since it uses as much as digits as its factorization.

444114110241101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 29.

Adding to 444114110241101 its reverse (101142011411444), we get a palindrome (545256121652545).

The spelling of 444114110241101 in words is "four hundred forty-four trillion, one hundred fourteen billion, one hundred ten million, two hundred forty-one thousand, one hundred one".