14258417121 has 20 divisors (see below), whose sum is σ = 22938044052. Its totient is φ = 8774409888.

The previous prime is 14258417113. The next prime is 14258417177. The reversal of 14258417121 is 12171485241.

14258417121 is a `hidden beast` number, since 1 + 4 + 2 + 584 + 1 + 71 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8938757025 + 5319660096 = 94545^2 + 72936^2 .

It is not a de Polignac number, because 14258417121 - 2³ = 14258417113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14258417221) 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 19 ways as a sum of consecutive naturals, for example, 6769326 + ... + 6771431.

Almost surely, 2^14258417121 is an apocalyptic number.

It is an amenable number.

14258417121 is a deficient number, since it is larger than the sum of its proper divisors (8679626931).

14258417121 is a wasteful number, since it uses less digits than its factorization.

14258417121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13540782 (or 13540773 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The spelling of 14258417121 in words is "fourteen billion, two hundred fifty-eight million, four hundred seventeen thousand, one hundred twenty-one".