114351143240205 has 32 divisors (see below), whose sum is σ = 203319910725120. Its totient is φ = 60978579572160.

The previous prime is 114351143240183. The next prime is 114351143240239. The reversal of 114351143240205 is 502042341153411.

114351143240205 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 5 + 11 + 432 + 4 + 0 + 205 = 666.

It is not a de Polignac number, because 114351143240205 - 2¹⁶ = 114351143174669 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114351143240205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59444341 + ... + 61337850.

It is an arithmetic number, because the mean of its divisors is an integer number (6353747210160).

Almost surely, 2^{114351143240205} is an apocalyptic number.

114351143240205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114351143240205 is a deficient number, since it is larger than the sum of its proper divisors (88968767484915).

114351143240205 is a wasteful number, since it uses less digits than its factorization.

114351143240205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120789218 (or 120789212 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114351143240205 its reverse (502042341153411), we get a palindrome (616393484393616).

The spelling of 114351143240205 in words is "one hundred fourteen trillion, three hundred fifty-one billion, one hundred forty-three million, two hundred forty thousand, two hundred five".