14431101314112 has 448 divisors, whose sum is σ = 49693687841280. Its totient is φ = 4020527923200.

The previous prime is 14431101314111. The next prime is 14431101314293. The reversal of 14431101314112 is 21141310113441.

14431101314112 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 110 + 131 + 411 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14431101314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1131223638 + ... + 1131236394.

It is an arithmetic number, because the mean of its divisors is an integer number (110923410360).

Almost surely, 2^{14431101314112} is an apocalyptic number.

14431101314112 is a gapful number since it is divisible by the number (12) 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 14431101314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24846843920640).

14431101314112 is an abundant number, since it is smaller than the sum of its proper divisors (35262586527168).

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

14431101314112 is a wasteful number, since it uses less digits than its factorization.

14431101314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15107 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14431101314112 its reverse (21141310113441), we get a palindrome (35572411427553).

The spelling of 14431101314112 in words is "fourteen trillion, four hundred thirty-one billion, one hundred one million, three hundred fourteen thousand, one hundred twelve".