114340431200 has 72 divisors (see below), whose sum is σ = 283299883272. Its totient is φ = 45053521920.

The previous prime is 114340431193. The next prime is 114340431229. The reversal of 114340431200 is 2134043411.

114340431200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1013009 + ... + 1120208.

It is an arithmetic number, because the mean of its divisors is an integer number (3934720601).

Almost surely, 2^114340431200 is an apocalyptic number.

114340431200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114340431200 is an abundant number, since it is smaller than the sum of its proper divisors (168959452072).

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

114340431200 is a wasteful number, since it uses less digits than its factorization.

114340431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133304 (or 2133291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 114340431200 its reverse (2134043411), we get a palindrome (116474474611).

The spelling of 114340431200 in words is "one hundred fourteen billion, three hundred forty million, four hundred thirty-one thousand, two hundred".