14045145000 has 160 divisors (see below), whose sum is σ = 46458878400. Its totient is φ = 3524992000.

The previous prime is 14045144987. The next prime is 14045145007. The reversal of 14045145000 is 54154041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14045145007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 227461 + ... + 282539.

It is an arithmetic number, because the mean of its divisors is an integer number (290367990).

Almost surely, 2^14045145000 is an apocalyptic number.

14045145000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23229439200).

14045145000 is an abundant number, since it is smaller than the sum of its proper divisors (32413733400).

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

14045145000 is a wasteful number, since it uses less digits than its factorization.

14045145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55125 (or 55106 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 14045145000 its reverse (54154041), we get a palindrome (14099299041).

The spelling of 14045145000 in words is "fourteen billion, forty-five million, one hundred forty-five thousand".