444243349574368 has 96 divisors (see below), whose sum is σ = 901070548408800. Its totient is φ = 215471153479680.

The previous prime is 444243349574341. The next prime is 444243349574369. The reversal of 444243349574368 is 863475943342444.

It is a junction number, because it is equal to n+sod(n) for n = 444243349574297 and 444243349574306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444243349574369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1574648296 + ... + 1574930392.

It is an arithmetic number, because the mean of its divisors is an integer number (9386151545925).

Almost surely, 2^{444243349574368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444243349574368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450535274204400).

444243349574368 is an abundant number, since it is smaller than the sum of its proper divisors (456827198834432).

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

444243349574368 is a wasteful number, since it uses less digits than its factorization.

444243349574368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289980 (or 289972 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 70.

The spelling of 444243349574368 in words is "four hundred forty-four trillion, two hundred forty-three billion, three hundred forty-nine million, five hundred seventy-four thousand, three hundred sixty-eight".