114412011344325 has 18 divisors (see below), whose sum is σ = 204924624763794. Its totient is φ = 61019739383520.

The previous prime is 114412011344317. The next prime is 114412011344333. The reversal of 114412011344325 is 523443110214411.

114412011344325 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 1 + 201 + 1 + 3 + 443 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114412011344317) and next prime (114412011344333).

It can be written as a sum of positive squares in 3 ways, for example, as 468192588516 + 113943818755809 = 684246^2 + 10674447^2 .

It is not a de Polignac number, because 114412011344325 - 2³ = 114412011344317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114412011344325.

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 17 ways as a sum of consecutive naturals, for example, 254248913874 + ... + 254248914323.

Almost surely, 2^{114412011344325} is an apocalyptic number.

114412011344325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114412011344325 is a deficient number, since it is larger than the sum of its proper divisors (90512613419469).

114412011344325 is a wasteful number, since it uses less digits than its factorization.

114412011344325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508497828213 (or 508497828205 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 114412011344325 its reverse (523443110214411), we get a palindrome (637855121558736).

The spelling of 114412011344325 in words is "one hundred fourteen trillion, four hundred twelve billion, eleven million, three hundred forty-four thousand, three hundred twenty-five".