114005224211225 has 24 divisors (see below), whose sum is σ = 142193407717272. Its totient is φ = 90670748889600.

The previous prime is 114005224211201. The next prime is 114005224211287. The reversal of 114005224211225 is 522112422500411.

It can be written as a sum of positive squares in 12 ways, for example, as 523012454416 + 113482211756809 = 723196^2 + 10652803^2 .

It is not a de Polignac number, because 114005224211225 - 2²⁴ = 114005207434009 is a prime.

It is a super-2 number, since 2×114005224211225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114005224211191 and 114005224211200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62474765 + ... + 64273685.

It is an arithmetic number, because the mean of its divisors is an integer number (5924725321553).

Almost surely, 2^{114005224211225} is an apocalyptic number.

It is an amenable number.

114005224211225 is a deficient number, since it is larger than the sum of its proper divisors (28188183506047).

114005224211225 is a wasteful number, since it uses less digits than its factorization.

114005224211225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813757 (or 1813752 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

Adding to 114005224211225 its reverse (522112422500411), we get a palindrome (636117646711636).

The spelling of 114005224211225 in words is "one hundred fourteen trillion, five billion, two hundred twenty-four million, two hundred eleven thousand, two hundred twenty-five".