114225201325305 has 48 divisors (see below), whose sum is σ = 226290933423360. Its totient is φ = 52213485147264.

The previous prime is 114225201325273. The next prime is 114225201325307. The reversal of 114225201325305 is 503523102522411.

114225201325305 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 5 + 20 + 1 + 325 + 305 = 666.

It is not a de Polignac number, because 114225201325305 - 2⁵ = 114225201325273 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114225201325305.

It is not an unprimeable number, because it can be changed into a prime (114225201325307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8624085 + ... + 17401874.

It is an arithmetic number, because the mean of its divisors is an integer number (4714394446320).

Almost surely, 2^{114225201325305} is an apocalyptic number.

114225201325305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114225201325305 is a deficient number, since it is larger than the sum of its proper divisors (112065732098055).

114225201325305 is a wasteful number, since it uses less digits than its factorization.

114225201325305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26039910 (or 26039907 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 114225201325305 its reverse (503523102522411), we get a palindrome (617748303847716).

The spelling of 114225201325305 in words is "one hundred fourteen trillion, two hundred twenty-five billion, two hundred one million, three hundred twenty-five thousand, three hundred five".