444114351121 has 32 divisors (see below), whose sum is σ = 533378304000. Its totient is φ = 361803594240.

The previous prime is 444114351119. The next prime is 444114351133. The reversal of 444114351121 is 121153411444.

It is a cyclic number.

It is not a de Polignac number, because 444114351121 - 2¹ = 444114351119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444114351521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2800471 + ... + 2954803.

It is an arithmetic number, because the mean of its divisors is an integer number (16668072000).

Almost surely, 2^444114351121 is an apocalyptic number.

It is an amenable number.

444114351121 is a deficient number, since it is larger than the sum of its proper divisors (89263952879).

444114351121 is a wasteful number, since it uses less digits than its factorization.

444114351121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154609.

The product of its digits is 7680, while the sum is 31.

Adding to 444114351121 its reverse (121153411444), we get a palindrome (565267762565).

The spelling of 444114351121 in words is "four hundred forty-four billion, one hundred fourteen million, three hundred fifty-one thousand, one hundred twenty-one".