230114214330000 has 4800 divisors, whose sum is σ = 1047354379315200. Its totient is φ = 42225131520000.

The previous prime is 230114214329953. The next prime is 230114214330001. The reversal of 230114214330000 is 33412411032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (230114214330001) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 1285554269911 + ... + 1285554270089.

It is an arithmetic number, because the mean of its divisors is an integer number (218198829024).

Almost surely, 2^{230114214330000} is an apocalyptic number.

230114214330000 is a gapful number since it is divisible by the number (20) 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 230114214330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523677189657600).

230114214330000 is an abundant number, since it is smaller than the sum of its proper divisors (817240164985200).

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

230114214330000 is a wasteful number, since it uses less digits than its factorization.

230114214330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 230114214330000 its reverse (33412411032), we get a palindrome (230147626741032).

The spelling of 230114214330000 in words is "two hundred thirty trillion, one hundred fourteen billion, two hundred fourteen million, three hundred thirty thousand".