14434000144 has 80 divisors (see below), whose sum is σ = 31153849776. Its totient is φ = 6447513600.

The previous prime is 14434000051. The next prime is 14434000169. The reversal of 14434000144 is 44100043441.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 225360144 + 14208640000 = 15012^2 + 119200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395134 + ... + 430114.

Almost surely, 2^14434000144 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 14434000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576924888).

14434000144 is an abundant number, since it is smaller than the sum of its proper divisors (16719849632).

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

14434000144 is a wasteful number, since it uses less digits than its factorization.

14434000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35084 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 14434000144 its reverse (44100043441), we get a palindrome (58534043585).

The spelling of 14434000144 in words is "fourteen billion, four hundred thirty-four million, one hundred forty-four", and thus it is an aban number.