14214112311300 has 288 divisors, whose sum is σ = 46851325323264. Its totient is φ = 3293507712000.

The previous prime is 14214112311283. The next prime is 14214112311391. The reversal of 14214112311300 is 311321141241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100193017 + ... + 100334783.

It is an arithmetic number, because the mean of its divisors is an integer number (162678212928).

Almost surely, 2^{14214112311300} is an apocalyptic number.

14214112311300 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 14214112311300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23425662661632).

14214112311300 is an abundant number, since it is smaller than the sum of its proper divisors (32637213011964).

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

14214112311300 is a wasteful number, since it uses less digits than its factorization.

14214112311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143139 (or 143132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 14214112311300 its reverse (311321141241), we get a palindrome (14525433452541).

The spelling of 14214112311300 in words is "fourteen trillion, two hundred fourteen billion, one hundred twelve million, three hundred eleven thousand, three hundred".