230334053200000 has 192 divisors, whose sum is σ = 575174205010440. Its totient is φ = 91872563200000.

The previous prime is 230334053199949. The next prime is 230334053200001. The reversal of 230334053200000 is 2350433032.

It can be written as a sum of positive squares in 12 ways, for example, as 173107491049024 + 57226562150976 = 13157032^2 + 7564824^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (230334053200001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 140384370 + ... + 142015630.

Almost surely, 2^{230334053200000} is an apocalyptic number.

230334053200000 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 230334053200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287587102505220).

230334053200000 is an abundant number, since it is smaller than the sum of its proper divisors (344840151810440).

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

230334053200000 is an frugal number, since it uses more digits than its factorization.

230334053200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631653 (or 1631621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

The spelling of 230334053200000 in words is "two hundred thirty trillion, three hundred thirty-four billion, fifty-three million, two hundred thousand".