14482639371200 has 1344 divisors, whose sum is σ = 50407307059200. Its totient is φ = 4031741952000.

The previous prime is 14482639371089. The next prime is 14482639371217. The reversal of 14482639371200 is 217393628441.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2432827424 + ... + 2432833376.

It is an arithmetic number, because the mean of its divisors is an integer number (37505436800).

Almost surely, 2^{14482639371200} is an apocalyptic number.

14482639371200 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 14482639371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25203653529600).

14482639371200 is an abundant number, since it is smaller than the sum of its proper divisors (35924667688000).

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

14482639371200 is a wasteful number, since it uses less digits than its factorization.

14482639371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 14482639371200 in words is "fourteen trillion, four hundred eighty-two billion, six hundred thirty-nine million, three hundred seventy-one thousand, two hundred".