444242311111131 has 32 divisors (see below), whose sum is σ = 641098316812800. Its totient is φ = 272003373734400.

The previous prime is 444242311111129. The next prime is 444242311111177. The reversal of 444242311111131 is 131111113242444.

It is a happy number.

It is not a de Polignac number, because 444242311111131 - 2¹ = 444242311111129 is a prime.

It is a super-2 number, since 2×444242311111131² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444242311111092 and 444242311111101.

It is not an unprimeable number, because it can be changed into a prime (444242311111831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987680611 + ... + 988130291.

It is an arithmetic number, because the mean of its divisors is an integer number (20034322400400).

Almost surely, 2^{444242311111131} is an apocalyptic number.

444242311111131 is a deficient number, since it is larger than the sum of its proper divisors (196856005701669).

444242311111131 is a wasteful number, since it uses less digits than its factorization.

444242311111131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577187.

The product of its digits is 9216, while the sum is 33.

Adding to 444242311111131 its reverse (131111113242444), we get a palindrome (575353424353575).

The spelling of 444242311111131 in words is "four hundred forty-four trillion, two hundred forty-two billion, three hundred eleven million, one hundred eleven thousand, one hundred thirty-one".