230581545768 has 144 divisors (see below), whose sum is σ = 726654240000. Its totient is φ = 65861877312.

The previous prime is 230581545767. The next prime is 230581545841. The reversal of 230581545768 is 867545185032.

230581545768 is a `hidden beast` number, since 2 + 3 + 0 + 58 + 15 + 4 + 576 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (230581545767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16924063 + ... + 16937681.

It is an arithmetic number, because the mean of its divisors is an integer number (5046210000).

Almost surely, 2^230581545768 is an apocalyptic number.

230581545768 is a gapful number since it is divisible by the number (28) 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 230581545768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363327120000).

230581545768 is an abundant number, since it is smaller than the sum of its proper divisors (496072694232).

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

230581545768 is a wasteful number, since it uses less digits than its factorization.

230581545768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18444 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 230581545768 in words is "two hundred thirty billion, five hundred eighty-one million, five hundred forty-five thousand, seven hundred sixty-eight".