444034424111113 has 16 divisors (see below), whose sum is σ = 488225672202240. Its totient is φ = 400480723843200.

The previous prime is 444034424111093. The next prime is 444034424111143. The reversal of 444034424111113 is 311111424430444.

It is not a de Polignac number, because 444034424111113 - 2³⁷ = 443896985157641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444034424111143) 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 15 ways as a sum of consecutive naturals, for example, 63365293 + ... + 70023061.

It is an arithmetic number, because the mean of its divisors is an integer number (30514104512640).

Almost surely, 2^{444034424111113} is an apocalyptic number.

It is an amenable number.

444034424111113 is a deficient number, since it is larger than the sum of its proper divisors (44191248091127).

444034424111113 is a wasteful number, since it uses less digits than its factorization.

444034424111113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705648.

The product of its (nonzero) digits is 73728, while the sum is 37.

Adding to 444034424111113 its reverse (311111424430444), we get a palindrome (755145848541557).

The spelling of 444034424111113 in words is "four hundred forty-four trillion, thirty-four billion, four hundred twenty-four million, one hundred eleven thousand, one hundred thirteen".