114254102145014 has 384 divisors, whose sum is σ = 218588524508160. Its totient is φ = 44440005722112.

The previous prime is 114254102144999. The next prime is 114254102145019. The reversal of 114254102145014 is 410541201452411.

It is a super-3 number, since 3×114254102145014³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114254102145019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19756888367 + ... + 19756894149.

It is an arithmetic number, because the mean of its divisors is an integer number (569240949240).

Almost surely, 2^{114254102145014} is an apocalyptic number.

114254102145014 is a deficient number, since it is larger than the sum of its proper divisors (104334422363146).

114254102145014 is a wasteful number, since it uses less digits than its factorization.

114254102145014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

Adding to 114254102145014 its reverse (410541201452411), we get a palindrome (524795303597425).

The spelling of 114254102145014 in words is "one hundred fourteen trillion, two hundred fifty-four billion, one hundred two million, one hundred forty-five thousand, fourteen".