114222044431305 has 24 divisors (see below), whose sum is σ = 197985801646152. Its totient is φ = 60918139194624.

The previous prime is 114222044431289. The next prime is 114222044431331. The reversal of 114222044431305 is 503134440222411.

114222044431305 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 204 + 443 + 1 + 3 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7577924356809 + 106644120074496 = 2752803^2 + 10326864^2 .

It is not a de Polignac number, because 114222044431305 - 2⁴ = 114222044431289 is a prime.

It is a super-3 number, since 3×114222044431305³ (a number of 43 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 114222044431305.

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, 3998107 + ... + 15634223.

It is an arithmetic number, because the mean of its divisors is an integer number (8249408401923).

Almost surely, 2^{114222044431305} is an apocalyptic number.

114222044431305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114222044431305 is a deficient number, since it is larger than the sum of its proper divisors (83763757214847).

114222044431305 is a wasteful number, since it uses less digits than its factorization.

114222044431305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11854265 (or 11854262 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 114222044431305 its reverse (503134440222411), we get a palindrome (617356484653716).

The spelling of 114222044431305 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, four hundred thirty-one thousand, three hundred five".