444112221340311 has 64 divisors (see below), whose sum is σ = 613251743731200. Its totient is φ = 285763400441856.

The previous prime is 444112221340253. The next prime is 444112221340367. The reversal of 444112221340311 is 113043122211444.

It is not a de Polignac number, because 444112221340311 - 2¹⁸ = 444112221078167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444112221340111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357234720 + ... + 1357561898.

It is an arithmetic number, because the mean of its divisors is an integer number (9582058495800).

Almost surely, 2^{444112221340311} is an apocalyptic number.

444112221340311 is a deficient number, since it is larger than the sum of its proper divisors (169139522390889).

444112221340311 is a wasteful number, since it uses less digits than its factorization.

444112221340311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327968.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 444112221340311 its reverse (113043122211444), we get a palindrome (557155343551755).

The spelling of 444112221340311 in words is "four hundred forty-four trillion, one hundred twelve billion, two hundred twenty-one million, three hundred forty thousand, three hundred eleven".