14514214300 has 72 divisors (see below), whose sum is σ = 32134412016. Its totient is φ = 5688284160.

The previous prime is 14514214289. The next prime is 14514214333. The reversal of 14514214300 is 341241541.

14514214300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5176699 + ... + 5179501.

It is an arithmetic number, because the mean of its divisors is an integer number (446311278).

Almost surely, 2^14514214300 is an apocalyptic number.

14514214300 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 14514214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16067206008).

14514214300 is an abundant number, since it is smaller than the sum of its proper divisors (17620197716).

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

14514214300 is a wasteful number, since it uses less digits than its factorization.

14514214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14514214300 its reverse (341241541), we get a palindrome (14855455841).

The spelling of 14514214300 in words is "fourteen billion, five hundred fourteen million, two hundred fourteen thousand, three hundred".