14727870546144 has 288 divisors, whose sum is σ = 48494219961600. Its totient is φ = 3889258813440.

The previous prime is 14727870546143. The next prime is 14727870546161. The reversal of 14727870546144 is 44164507872741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14727870546143) 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 47 ways as a sum of consecutive naturals, for example, 1654837 + ... + 5673995.

It is an arithmetic number, because the mean of its divisors is an integer number (168382708200).

Almost surely, 2^{14727870546144} is an apocalyptic number.

14727870546144 is a gapful number since it is divisible by the number (14) 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 14727870546144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24247109980800).

14727870546144 is an abundant number, since it is smaller than the sum of its proper divisors (33766349415456).

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

14727870546144 is a wasteful number, since it uses less digits than its factorization.

14727870546144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019246 (or 4019231 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 60.

The spelling of 14727870546144 in words is "fourteen trillion, seven hundred twenty-seven billion, eight hundred seventy million, five hundred forty-six thousand, one hundred forty-four".