14305134015200 has 144 divisors (see below), whose sum is σ = 39914162142624. Its totient is φ = 4904268595200.

The previous prime is 14305134015131. The next prime is 14305134015223. The reversal of 14305134015200 is 251043150341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85938452 + ... + 86104748.

It is an arithmetic number, because the mean of its divisors is an integer number (277181681546).

Almost surely, 2^{14305134015200} is an apocalyptic number.

14305134015200 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 14305134015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19957081071312).

14305134015200 is an abundant number, since it is smaller than the sum of its proper divisors (25609028127424).

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

14305134015200 is a wasteful number, since it uses less digits than its factorization.

14305134015200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181685 (or 181672 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 14305134015200 its reverse (251043150341), we get a palindrome (14556177165541).

The spelling of 14305134015200 in words is "fourteen trillion, three hundred five billion, one hundred thirty-four million, fifteen thousand, two hundred".