114320036000 has 288 divisors, whose sum is σ = 313951174992. Its totient is φ = 40764211200.

The previous prime is 114320035979. The next prime is 114320036111. The reversal of 114320036000 is 630023411.

114320036000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1426723984 + 112893312016 = 37772^2 + 335996^2 .

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24545672 + ... + 24550328.

Almost surely, 2^114320036000 is an apocalyptic number.

114320036000 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 114320036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156975587496).

114320036000 is an abundant number, since it is smaller than the sum of its proper divisors (199631138992).

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

114320036000 is a wasteful number, since it uses less digits than its factorization.

114320036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4700 counting only the distinct ones).

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

Adding to 114320036000 its reverse (630023411), we get a palindrome (114950059411).

The spelling of 114320036000 in words is "one hundred fourteen billion, three hundred twenty million, thirty-six thousand".