114541104000 has 768 divisors, whose sum is σ = 422062617600. Its totient is φ = 27421081600.

The previous prime is 114541103953. The next prime is 114541104001. The reversal of 114541104000 is 401145411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114541104001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 319055821 + ... + 319056179.

It is an arithmetic number, because the mean of its divisors is an integer number (549560700).

Almost surely, 2^114541104000 is an apocalyptic number.

114541104000 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 114541104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211031308800).

114541104000 is an abundant number, since it is smaller than the sum of its proper divisors (307521513600).

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

114541104000 is a wasteful number, since it uses less digits than its factorization.

114541104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 114541104000 its reverse (401145411), we get a palindrome (114942249411).

The spelling of 114541104000 in words is "one hundred fourteen billion, five hundred forty-one million, one hundred four thousand".