1444359305116 has 72 divisors (see below), whose sum is σ = 3131212944384. Its totient is φ = 570811775040.

The previous prime is 1444359305099. The next prime is 1444359305167. The reversal of 1444359305116 is 6115039534441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4496301 + ... + 4806811.

It is an arithmetic number, because the mean of its divisors is an integer number (43489068672).

Almost surely, 2^{1444359305116} 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 1444359305116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565606472192).

1444359305116 is an abundant number, since it is smaller than the sum of its proper divisors (1686853639268).

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

1444359305116 is a wasteful number, since it uses less digits than its factorization.

1444359305116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311531 (or 311516 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 46.

The spelling of 1444359305116 in words is "one trillion, four hundred forty-four billion, three hundred fifty-nine million, three hundred five thousand, one hundred sixteen".