230566246400 has 576 divisors, whose sum is σ = 702767520000. Its totient is φ = 74782310400.

The previous prime is 230566246397. The next prime is 230566246403. The reversal of 230566246400 is 4642665032.

It is an interprime number because it is at equal distance from previous prime (230566246397) and next prime (230566246403).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230566246403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 333670055 + ... + 333670745.

It is an arithmetic number, because the mean of its divisors is an integer number (1220082500).

Almost surely, 2^230566246400 is an apocalyptic number.

230566246400 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 230566246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351383760000).

230566246400 is an abundant number, since it is smaller than the sum of its proper divisors (472201273600).

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

230566246400 is an equidigital number, since it uses as much as digits as its factorization.

230566246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 230566246400 in words is "two hundred thirty billion, five hundred sixty-six million, two hundred forty-six thousand, four hundred".