444321323123444 has 24 divisors (see below), whose sum is σ = 837390737907528. Its totient is φ = 205067477053440.

The previous prime is 444321323123441. The next prime is 444321323123467.

444321323123444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 8279603404900 + 436041719718544 = 2877430^2 + 20881612^2 .

It is a super-2 number, since 2×444321323123444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444321323123395 and 444321323123404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444321323123441) 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 7 ways as a sum of consecutive naturals, for example, 78549917 + ... + 84016260.

It is an arithmetic number, because the mean of its divisors is an integer number (34891280746147).

Almost surely, 2^{444321323123444} is an apocalyptic number.

It is an amenable number.

444321323123444 is a deficient number, since it is larger than the sum of its proper divisors (393069414784084).

444321323123444 is a wasteful number, since it uses less digits than its factorization.

444321323123444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162618755 (or 162618753 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 44.

The spelling of 444321323123444 in words is "four hundred forty-four trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twenty-three thousand, four hundred forty-four".