114110253032325 has 192 divisors, whose sum is σ = 218416287129600. Its totient is φ = 51986642400000.

The previous prime is 114110253032323. The next prime is 114110253032341. The reversal of 114110253032325 is 523230352011411.

It is a happy number.

It is not a de Polignac number, because 114110253032325 - 2¹ = 114110253032323 is a prime.

It is a super-2 number, since 2×114110253032325² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114110253032323) 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 191 ways as a sum of consecutive naturals, for example, 2289920160 + ... + 2289969990.

It is an arithmetic number, because the mean of its divisors is an integer number (1137584828800).

Almost surely, 2^{114110253032325} is an apocalyptic number.

114110253032325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114110253032325 is a deficient number, since it is larger than the sum of its proper divisors (104306034097275).

114110253032325 is a wasteful number, since it uses less digits than its factorization.

114110253032325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51064 (or 51059 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 114110253032325 in words is "one hundred fourteen trillion, one hundred ten billion, two hundred fifty-three million, thirty-two thousand, three hundred twenty-five".