444416614444 has 96 divisors (see below), whose sum is σ = 868296231936. Its totient is φ = 197339950080.

The previous prime is 444416614441. The next prime is 444416614457.

444416614444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×444416614444³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 444416614394 and 444416614403.

It is not an unprimeable number, because it can be changed into a prime (444416614441) 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, 167893129 + ... + 167895775.

It is an arithmetic number, because the mean of its divisors is an integer number (9044752416).

Almost surely, 2^444416614444 is an apocalyptic number.

444416614444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444416614444 is a deficient number, since it is larger than the sum of its proper divisors (423879617492).

444416614444 is a wasteful number, since it uses less digits than its factorization.

444416614444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3213 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

The spelling of 444416614444 in words is "four hundred forty-four billion, four hundred sixteen million, six hundred fourteen thousand, four hundred forty-four".