230322818023200 has 576 divisors, whose sum is σ = 953871635808000. Its totient is φ = 52541769277440.

The previous prime is 230322818023189. The next prime is 230322818023223. The reversal of 230322818023200 is 2320818223032.

It is a happy number.

230322818023200 is a `hidden beast` number, since 2 + 3 + 0 + 322 + 8 + 1 + 8 + 0 + 2 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75464436 + ... + 78457164.

It is an arithmetic number, because the mean of its divisors is an integer number (1656027145500).

Almost surely, 2^{230322818023200} is an apocalyptic number.

230322818023200 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 230322818023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476935817904000).

230322818023200 is an abundant number, since it is smaller than the sum of its proper divisors (723548817784800).

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

230322818023200 is a wasteful number, since it uses less digits than its factorization.

230322818023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993274 (or 2993255 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 230322818023200 in words is "two hundred thirty trillion, three hundred twenty-two billion, eight hundred eighteen million, twenty-three thousand, two hundred".