444444441331311 has 32 divisors (see below), whose sum is σ = 662859283680000. Its totient is φ = 294305935027104.

The previous prime is 444444441331259. The next prime is 444444441331343. The reversal of 444444441331311 is 113133144444444.

444444441331311 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 44 + 441 + 33 + 131 + 1 = 666.

It is not a de Polignac number, because 444444441331311 - 2¹¹ = 444444441329263 is a prime.

It is a super-2 number, since 2×444444441331311² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444444441231311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139935360 + ... + 1140325178.

It is an arithmetic number, because the mean of its divisors is an integer number (20714352615000).

Almost surely, 2^{444444441331311} is an apocalyptic number.

444444441331311 is a deficient number, since it is larger than the sum of its proper divisors (218414842348689).

444444441331311 is a wasteful number, since it uses less digits than its factorization.

444444441331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673380 (or 673374 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

Adding to 444444441331311 its reverse (113133144444444), we get a palindrome (557577585775755).

The spelling of 444444441331311 in words is "four hundred forty-four trillion, four hundred forty-four billion, four hundred forty-one million, three hundred thirty-one thousand, three hundred eleven".