444614101416444 has 12 divisors (see below), whose sum is σ = 1037432903305064. Its totient is φ = 148204700472144.

The previous prime is 444614101416431. The next prime is 444614101416509.

444614101416444 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×444614101416444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444614101416393 and 444614101416402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18525587559007 + ... + 18525587559030.

Almost surely, 2^{444614101416444} is an apocalyptic number.

It is an amenable number.

444614101416444 is an abundant number, since it is smaller than the sum of its proper divisors (592818801888620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444614101416444 is a wasteful number, since it uses less digits than its factorization.

444614101416444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37051175118044 (or 37051175118042 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

It can be divided in two parts, 44461410 and 1416444, that added together give a palindrome (45877854).

The spelling of 444614101416444 in words is "four hundred forty-four trillion, six hundred fourteen billion, one hundred one million, four hundred sixteen thousand, four hundred forty-four".