14224142342300 has 144 divisors (see below), whose sum is σ = 33848344713120. Its totient is φ = 5145431040000.

The previous prime is 14224142342297. The next prime is 14224142342321. The reversal of 14224142342300 is 324324142241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302508392 + ... + 302555408.

Almost surely, 2^{14224142342300} is an apocalyptic number.

14224142342300 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 14224142342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16924172356560).

14224142342300 is an abundant number, since it is smaller than the sum of its proper divisors (19624202370820).

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

14224142342300 is a wasteful number, since it uses less digits than its factorization.

14224142342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48472 (or 48465 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 14224142342300 its reverse (324324142241), we get a palindrome (14548466484541).

The spelling of 14224142342300 in words is "fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, three hundred forty-two thousand, three hundred".