14164444064 has 96 divisors (see below), whose sum is σ = 31222739520. Its totient is φ = 6285938688.

The previous prime is 14164444031. The next prime is 14164444069. The reversal of 14164444064 is 46044446141.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (14164444069) 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, 2343254 + ... + 2349290.

It is an arithmetic number, because the mean of its divisors is an integer number (325236870).

Almost surely, 2^14164444064 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 14164444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611369760).

14164444064 is an abundant number, since it is smaller than the sum of its proper divisors (17058295456).

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

14164444064 is a wasteful number, since it uses less digits than its factorization.

14164444064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6310 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 14164444064 in words is "fourteen billion, one hundred sixty-four million, four hundred forty-four thousand, sixty-four".