14239727912256 has 896 divisors, whose sum is σ = 48990416412672. Its totient is φ = 3543920640000.

The previous prime is 14239727912231. The next prime is 14239727912299. The reversal of 14239727912256 is 65221972793241.

It is a self number, because there is not a number n which added to its sum of digits gives 14239727912256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7217296486 + ... + 7217298458.

It is an arithmetic number, because the mean of its divisors is an integer number (54676804032).

Almost surely, 2^{14239727912256} is an apocalyptic number.

14239727912256 is a gapful number since it is divisible by the number (16) 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 14239727912256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24495208206336).

14239727912256 is an abundant number, since it is smaller than the sum of its proper divisors (34750688500416).

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

14239727912256 is a wasteful number, since it uses less digits than its factorization.

14239727912256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2261 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 60.

The spelling of 14239727912256 in words is "fourteen trillion, two hundred thirty-nine billion, seven hundred twenty-seven million, nine hundred twelve thousand, two hundred fifty-six".