114050001443200 has 192 divisors, whose sum is σ = 283142026746000. Its totient is φ = 45393085440000.

The previous prime is 114050001443177. The next prime is 114050001443201. The reversal of 114050001443200 is 2344100050411.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114050001443201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222996575 + ... + 1223089825.

Almost surely, 2^{114050001443200} is an apocalyptic number.

114050001443200 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 114050001443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571013373000).

114050001443200 is an abundant number, since it is smaller than the sum of its proper divisors (169092025302800).

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

114050001443200 is a wasteful number, since it uses less digits than its factorization.

114050001443200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95173 (or 95156 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 114050001443200 its reverse (2344100050411), we get a palindrome (116394101493611).

The spelling of 114050001443200 in words is "one hundred fourteen trillion, fifty billion, one million, four hundred forty-three thousand, two hundred".