444123203131311 has 16 divisors (see below), whose sum is σ = 645997795564800. Its totient is φ = 269165407158720.

The previous prime is 444123203131213. The next prime is 444123203131337. The reversal of 444123203131311 is 113131302321444.

It is a happy number.

It is not a de Polignac number, because 444123203131311 - 2²¹ = 444123201034159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444123203141311) 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 in 15 ways as a sum of consecutive naturals, for example, 65825715 + ... + 72258363.

It is an arithmetic number, because the mean of its divisors is an integer number (40374862222800).

Almost surely, 2^{444123203131311} is an apocalyptic number.

444123203131311 is a deficient number, since it is larger than the sum of its proper divisors (201874592433489).

444123203131311 is a wasteful number, since it uses less digits than its factorization.

444123203131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524846.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 444123203131311 its reverse (113131302321444), we get a palindrome (557254505452755).

The spelling of 444123203131311 in words is "four hundred forty-four trillion, one hundred twenty-three billion, two hundred three million, one hundred thirty-one thousand, three hundred eleven".