14144310033312 has 192 divisors, whose sum is σ = 37926475776000. Its totient is φ = 4614549273600.

The previous prime is 14144310033307. The next prime is 14144310033341. The reversal of 14144310033312 is 21333001344141.

It is a self number, because there is not a number n which added to its sum of digits gives 14144310033312.

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 31 ways as a sum of consecutive naturals, for example, 649615258 + ... + 649637030.

It is an arithmetic number, because the mean of its divisors is an integer number (197533728000).

Almost surely, 2^{14144310033312} is an apocalyptic number.

14144310033312 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 14144310033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963237888000).

14144310033312 is an abundant number, since it is smaller than the sum of its proper divisors (23782165742688).

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

14144310033312 is a wasteful number, since it uses less digits than its factorization.

14144310033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22547 (or 22539 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 14144310033312 its reverse (21333001344141), we get a palindrome (35477311377453).

The spelling of 14144310033312 in words is "fourteen trillion, one hundred forty-four billion, three hundred ten million, thirty-three thousand, three hundred twelve".