114014410200 has 144 divisors (see below), whose sum is σ = 395250148800. Its totient is φ = 29423059200.

The previous prime is 114014410171. The next prime is 114014410207. The reversal of 114014410200 is 2014410411.

114014410200 is a `hidden beast` number, since 1 + 1 + 40 + 14 + 410 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114014410207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 965835 + ... + 1077434.

It is an arithmetic number, because the mean of its divisors is an integer number (2744792700).

Almost surely, 2^114014410200 is an apocalyptic number.

114014410200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114014410200 is an abundant number, since it is smaller than the sum of its proper divisors (281235738600).

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

114014410200 is a wasteful number, since it uses less digits than its factorization.

114014410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043322 (or 2043310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114014410200 its reverse (2014410411), we get a palindrome (116028820611).

The spelling of 114014410200 in words is "one hundred fourteen billion, fourteen million, four hundred ten thousand, two hundred".