230761483729920 has 528 divisors, whose sum is σ = 939369714427872. Its totient is φ = 51638931947520.

The previous prime is 230761483729891. The next prime is 230761483729939. The reversal of 230761483729920 is 29927384167032.

230761483729920 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 61 + 483 + 7 + 2 + 9 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10920507 + ... + 24099386.

Almost surely, 2^{230761483729920} is an apocalyptic number.

230761483729920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230761483729920 is an abundant number, since it is smaller than the sum of its proper divisors (708608230697952).

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

230761483729920 is a wasteful number, since it uses less digits than its factorization.

230761483729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35019948 (or 35019927 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 230761483729920 in words is "two hundred thirty trillion, seven hundred sixty-one billion, four hundred eighty-three million, seven hundred twenty-nine thousand, nine hundred twenty".