230763841920 has 512 divisors, whose sum is σ = 833034326400. Its totient is φ = 61117120512.

The previous prime is 230763841883. The next prime is 230763841939. The reversal of 230763841920 is 29148367032.

230763841920 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 638 + 4 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 242144164 + ... + 242145116.

Almost surely, 2^230763841920 is an apocalyptic number.

230763841920 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 230763841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416517163200).

230763841920 is an abundant number, since it is smaller than the sum of its proper divisors (602270484480).

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

230763841920 is an frugal number, since it uses more digits than its factorization.

230763841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 230763841920 in words is "two hundred thirty billion, seven hundred sixty-three million, eight hundred forty-one thousand, nine hundred twenty".