114222044323125 has 60 divisors (see below), whose sum is σ = 206912544275580. Its totient is φ = 60698500704000.

The previous prime is 114222044323001. The next prime is 114222044323133. The reversal of 114222044323125 is 521323440222411.

114222044323125 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 204 + 4 + 323 + 125 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 73046542412529 + 41175501910596 = 8546727^2 + 6416814^2 .

It is not a de Polignac number, because 114222044323125 - 2²² = 114222040128821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114222044323125.

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 35095560 + ... + 38211809.

It is an arithmetic number, because the mean of its divisors is an integer number (3448542404593).

Almost surely, 2^{114222044323125} is an apocalyptic number.

114222044323125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114222044323125 is a deficient number, since it is larger than the sum of its proper divisors (92690499952455).

114222044323125 is an equidigital number, since it uses as much as digits as its factorization.

114222044323125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73307672 (or 73307654 counting only the distinct ones).

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

Adding to 114222044323125 its reverse (521323440222411), we get a palindrome (635545484545536).

The spelling of 114222044323125 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred twenty-three thousand, one hundred twenty-five".