114104333000 has 256 divisors, whose sum is σ = 310376102400. Its totient is φ = 38456294400.

The previous prime is 114104332999. The next prime is 114104333027. The reversal of 114104333000 is 333401411.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 160936646 + ... + 160937354.

It is an arithmetic number, because the mean of its divisors is an integer number (1212406650).

Almost surely, 2^114104333000 is an apocalyptic number.

114104333000 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 114104333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155188051200).

114104333000 is an abundant number, since it is smaller than the sum of its proper divisors (196271769400).

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

114104333000 is a wasteful number, since it uses less digits than its factorization.

114104333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 114104333000 its reverse (333401411), we get a palindrome (114437734411).

The spelling of 114104333000 in words is "one hundred fourteen billion, one hundred four million, three hundred thirty-three thousand".