114435045225 has 36 divisors (see below), whose sum is σ = 207268904700. Its totient is φ = 60346260480.

The previous prime is 114435045211. The next prime is 114435045229. The reversal of 114435045225 is 522540534411.

114435045225 is a `hidden beast` number, since 1 + 1 + 44 + 350 + 45 + 225 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 97061904 + 114337983321 = 9852^2 + 338139^2 .

It is not a de Polignac number, because 114435045225 - 2⁴ = 114435045209 is a prime.

It is a super-3 number, since 3×114435045225³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114435045225.

It is not an unprimeable number, because it can be changed into a prime (114435045229) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2837280 + ... + 2877329.

It is an arithmetic number, because the mean of its divisors is an integer number (5757469575).

Almost surely, 2^114435045225 is an apocalyptic number.

114435045225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114435045225 is a deficient number, since it is larger than the sum of its proper divisors (92833859475).

114435045225 is a wasteful number, since it uses less digits than its factorization.

114435045225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5714714 (or 5714706 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 114435045225 its reverse (522540534411), we get a palindrome (636975579636).

The spelling of 114435045225 in words is "one hundred fourteen billion, four hundred thirty-five million, forty-five thousand, two hundred twenty-five".