444111311141211 has 16 divisors (see below), whose sum is σ = 690552087296000. Its totient is φ = 253777892080104.

The previous prime is 444111311141207. The next prime is 444111311141261. The reversal of 444111311141211 is 112141113111444.

It is a happy number.

It is not a de Polignac number, because 444111311141211 - 2² = 444111311141207 is a prime.

It is a super-3 number, since 3×444111311141211³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444111311141261) 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 in 15 ways as a sum of consecutive naturals, for example, 215797526251 + ... + 215797528308.

It is an arithmetic number, because the mean of its divisors is an integer number (43159505456000).

Almost surely, 2^{444111311141211} is an apocalyptic number.

444111311141211 is a deficient number, since it is larger than the sum of its proper divisors (246440776154789).

444111311141211 is an equidigital number, since it uses as much as digits as its factorization.

444111311141211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431595054583 (or 431595054569 counting only the distinct ones).

The product of its digits is 1536, while the sum is 30.

Adding to 444111311141211 its reverse (112141113111444), we get a palindrome (556252424252655).

The spelling of 444111311141211 in words is "four hundred forty-four trillion, one hundred eleven billion, three hundred eleven million, one hundred forty-one thousand, two hundred eleven".