144252414401121 has 24 divisors (see below), whose sum is σ = 230457310701800. Its totient is φ = 86371507996416.

The previous prime is 144252414401101. The next prime is 144252414401159. The reversal of 144252414401121 is 121104414252441.

144252414401121 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 241 + 4 + 401 + 1 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2803280490000 + 141449133911121 = 1674300^2 + 11893239^2 .

It is not a de Polignac number, because 144252414401121 - 2¹¹ = 144252414399073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144252414401101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16661166196 + ... + 16661174853.

Almost surely, 2^{144252414401121} is an apocalyptic number.

It is an amenable number.

144252414401121 is a deficient number, since it is larger than the sum of its proper divisors (86204896300679).

144252414401121 is a wasteful number, since it uses less digits than its factorization.

144252414401121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33322341105 (or 33322341102 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 144252414401121 its reverse (121104414252441), we get a palindrome (265356828653562).

The spelling of 144252414401121 in words is "one hundred forty-four trillion, two hundred fifty-two billion, four hundred fourteen million, four hundred one thousand, one hundred twenty-one".