14114945805312 has 264 divisors, whose sum is σ = 41448507191728. Its totient is φ = 4267329454080.

The previous prime is 14114945805287. The next prime is 14114945805347. The reversal of 14114945805312 is 21350854941141.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 160907448 + ... + 160995144.

Almost surely, 2^{14114945805312} is an apocalyptic number.

14114945805312 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 14114945805312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724253595864).

14114945805312 is an abundant number, since it is smaller than the sum of its proper divisors (27333561386416).

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

14114945805312 is a wasteful number, since it uses less digits than its factorization.

14114945805312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88175 (or 88146 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 14114945805312 in words is "fourteen trillion, one hundred fourteen billion, nine hundred forty-five million, eight hundred five thousand, three hundred twelve".