114434143200 has 432 divisors, whose sum is σ = 450668561616. Its totient is φ = 28167782400.

The previous prime is 114434143189. The next prime is 114434143223. The reversal of 114434143200 is 2341434411.

114434143200 is a `hidden beast` number, since 1 + 1 + 4 + 43 + 414 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2504560 + ... + 2549840.

It is an arithmetic number, because the mean of its divisors is an integer number (1043214263).

Almost surely, 2^114434143200 is an apocalyptic number.

114434143200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114434143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225334280808).

114434143200 is an abundant number, since it is smaller than the sum of its proper divisors (336234418416).

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

114434143200 is a wasteful number, since it uses less digits than its factorization.

114434143200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45329 (or 45304 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 114434143200 its reverse (2341434411), we get a palindrome (116775577611).

The spelling of 114434143200 in words is "one hundred fourteen billion, four hundred thirty-four million, one hundred forty-three thousand, two hundred".