14444295309516 has 96 divisors (see below), whose sum is σ = 35074705881600. Its totient is φ = 4620871342080.

The previous prime is 14444295309511. The next prime is 14444295309539. The reversal of 14444295309516 is 61590359244441.

It is not an unprimeable number, because it can be changed into a prime (14444295309511) 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, 155870556 + ... + 155963196.

It is an arithmetic number, because the mean of its divisors is an integer number (365361519600).

Almost surely, 2^{14444295309516} 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 14444295309516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17537352940800).

14444295309516 is an abundant number, since it is smaller than the sum of its proper divisors (20630410572084).

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

14444295309516 is a wasteful number, since it uses less digits than its factorization.

14444295309516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95359 (or 95357 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 14444295309516 in words is "fourteen trillion, four hundred forty-four billion, two hundred ninety-five million, three hundred nine thousand, five hundred sixteen".