114241051504125 has 192 divisors, whose sum is σ = 255286318210560. Its totient is φ = 47860392499200.

The previous prime is 114241051504091. The next prime is 114241051504171. The reversal of 114241051504125 is 521405150142411.

114241051504125 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 10 + 515 + 0 + 4 + 125 = 666.

It is not a de Polignac number, because 114241051504125 - 2⁹ = 114241051503613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114241051504125.

It is a congruent number.

It is an unprimeable number.

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, 10216069 + ... + 18244181.

It is an arithmetic number, because the mean of its divisors is an integer number (1329616240680).

Almost surely, 2^{114241051504125} is an apocalyptic number.

114241051504125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114241051504125 is an abundant number, since it is smaller than the sum of its proper divisors (141045266706435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114241051504125 is a wasteful number, since it uses less digits than its factorization.

114241051504125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028293 (or 8028280 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 114241051504125 in words is "one hundred fourteen trillion, two hundred forty-one billion, fifty-one million, five hundred four thousand, one hundred twenty-five".