114224041232325 has 144 divisors (see below), whose sum is σ = 214443862214400. Its totient is φ = 58009112663040.

The previous prime is 114224041232321. The next prime is 114224041232383. The reversal of 114224041232325 is 523232140422411.

114224041232325 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 2 + 4 + 0 + 412 + 3 + 232 + 5 = 666.

It is not a de Polignac number, because 114224041232325 - 2² = 114224041232321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114224041232325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114224041232321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1114297024 + ... + 1114399526.

It is an arithmetic number, because the mean of its divisors is an integer number (1489193487600).

Almost surely, 2^{114224041232325} is an apocalyptic number.

114224041232325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114224041232325 is a deficient number, since it is larger than the sum of its proper divisors (100219820982075).

114224041232325 is a wasteful number, since it uses less digits than its factorization.

114224041232325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103508 (or 103500 counting only the distinct ones).

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

Adding to 114224041232325 its reverse (523232140422411), we get a palindrome (637456181654736).

The spelling of 114224041232325 in words is "one hundred fourteen trillion, two hundred twenty-four billion, forty-one million, two hundred thirty-two thousand, three hundred twenty-five".