14479971873120 has 1536 divisors, whose sum is σ = 58583811686400. Its totient is φ = 3308852477952.

The previous prime is 14479971873083. The next prime is 14479971873121. The reversal of 14479971873120 is 2137817997441.

14479971873120 is a `hidden beast` number, since 1 + 4 + 479 + 9 + 71 + 8 + 73 + 1 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14479971873121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37223577886 + ... + 37223578274.

It is an arithmetic number, because the mean of its divisors is an integer number (38140502400).

Almost surely, 2^{14479971873120} is an apocalyptic number.

14479971873120 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 14479971873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29291905843200).

14479971873120 is an abundant number, since it is smaller than the sum of its proper divisors (44103839813280).

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

14479971873120 is a wasteful number, since it uses less digits than its factorization.

14479971873120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 14479971873120 in words is "fourteen trillion, four hundred seventy-nine billion, nine hundred seventy-one million, eight hundred seventy-three thousand, one hundred twenty".