14205443918121 has 243 divisors, whose sum is σ = 23534189510013. Its totient is φ = 8572540139280.

The previous prime is 14205443918089. The next prime is 14205443918123. The reversal of 14205443918121 is 12181934450241.

It is a happy number.

The square root of 14205443918121 is 3769011.

It is a perfect power (a square), and thus also a powerful number.

14205443918121 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 5 + 443 + 9 + 181 + 21 = 666.

14205443918121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 14205443918121 - 2⁵ = 14205443918089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14205443918123) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 179815745760 + ... + 179815745838.

Almost surely, 2^{14205443918121} is an apocalyptic number.

14205443918121 is the 3769011-st square number.

14205443918121 is the 1884506-th centered octagonal number.

It is an amenable number.

14205443918121 is a deficient number, since it is larger than the sum of its proper divisors (9328745591892).

14205443918121 is an frugal number, since it uses more digits than its factorization.

14205443918121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 14205443918121 in words is "fourteen trillion, two hundred five billion, four hundred forty-three million, nine hundred eighteen thousand, one hundred twenty-one".