114230032000 has 256 divisors, whose sum is σ = 326078887680. Its totient is φ = 38983372800.

The previous prime is 114230031997. The next prime is 114230032001. The reversal of 114230032000 is 230032411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (114230032001) 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 31 ways as a sum of consecutive naturals, for example, 25421754 + ... + 25426246.

It is an arithmetic number, because the mean of its divisors is an integer number (1273745655).

Almost surely, 2^114230032000 is an apocalyptic number.

114230032000 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 114230032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163039443840).

114230032000 is an abundant number, since it is smaller than the sum of its proper divisors (211848855680).

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

114230032000 is an equidigital number, since it uses as much as digits as its factorization.

114230032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 114230032000 its reverse (230032411), we get a palindrome (114460064411).

The spelling of 114230032000 in words is "one hundred fourteen billion, two hundred thirty million, thirty-two thousand".