14354615121 has 96 divisors (see below), whose sum is σ = 26113259520. Its totient is φ = 6913468800.

The previous prime is 14354615113. The next prime is 14354615167. The reversal of 14354615121 is 12151645341.

14354615121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14354615121 - 2³ = 14354615113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14354615111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1439011 + ... + 1448951.

It is an arithmetic number, because the mean of its divisors is an integer number (272013120).

Almost surely, 2^14354615121 is an apocalyptic number.

14354615121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14354615121 is a deficient number, since it is larger than the sum of its proper divisors (11758644399).

14354615121 is a wasteful number, since it uses less digits than its factorization.

14354615121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10028 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The spelling of 14354615121 in words is "fourteen billion, three hundred fifty-four million, six hundred fifteen thousand, one hundred twenty-one".