230673455812800 has 6804 divisors, whose sum is σ = 1180423807494120. Its totient is φ = 43638961766400.

The previous prime is 230673455812759. The next prime is 230673455812801. The reversal of 230673455812800 is 8218554376032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

230673455812800 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 7 + 3 + 4 + 558 + 1 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230673455812801) by changing a digit.

It is a polite number, since it can be written in 971 ways as a sum of consecutive naturals, for example, 3159910353564 + ... + 3159910353636.

Almost surely, 2^{230673455812800} is an apocalyptic number.

230673455812800 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 230673455812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590211903747060).

230673455812800 is an abundant number, since it is smaller than the sum of its proper divisors (949750351681320).

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

230673455812800 is a wasteful number, since it uses less digits than its factorization.

230673455812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 230673455812800 in words is "two hundred thirty trillion, six hundred seventy-three billion, four hundred fifty-five million, eight hundred twelve thousand, eight hundred".