14144809217201 has 16 divisors (see below), whose sum is σ = 15824185308288. Its totient is φ = 12558877161600.

The previous prime is 14144809217167. The next prime is 14144809217213. The reversal of 14144809217201 is 10271290844141.

It is a cyclic number.

It is not a de Polignac number, because 14144809217201 - 2¹⁴ = 14144809200817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14144803217201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186850211 + ... + 186925896.

It is an arithmetic number, because the mean of its divisors is an integer number (989011581768).

Almost surely, 2^{14144809217201} is an apocalyptic number.

It is an amenable number.

14144809217201 is a deficient number, since it is larger than the sum of its proper divisors (1679376091087).

14144809217201 is a wasteful number, since it uses less digits than its factorization.

14144809217201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373776232.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 14144809217201 in words is "fourteen trillion, one hundred forty-four billion, eight hundred nine million, two hundred seventeen thousand, two hundred one".