114241014344205 has 64 divisors (see below), whose sum is σ = 232336064217600. Its totient is φ = 52173312952320.

The previous prime is 114241014344183. The next prime is 114241014344213. The reversal of 114241014344205 is 502443410142411.

114241014344205 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 10 + 1 + 434 + 4 + 205 = 666.

114241014344205 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 114241014344205 - 2⁵ = 114241014344173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114241014344205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58236900 + ... + 60166589.

It is an arithmetic number, because the mean of its divisors is an integer number (3630251003400).

Almost surely, 2^{114241014344205} is an apocalyptic number.

114241014344205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114241014344205 is an abundant number, since it is smaller than the sum of its proper divisors (118095049873395).

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

114241014344205 is a wasteful number, since it uses less digits than its factorization.

114241014344205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118404531 (or 118404525 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 114241014344205 its reverse (502443410142411), we get a palindrome (616684424486616).

The spelling of 114241014344205 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, three hundred forty-four thousand, two hundred five".