230948280505600 has 648 divisors, whose sum is σ = 694852929066240. Its totient is φ = 75632521789440.

The previous prime is 230948280505549. The next prime is 230948280505601. The reversal of 230948280505600 is 6505082849032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230948280505601) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5185980934 + ... + 5186025466.

It is an arithmetic number, because the mean of its divisors is an integer number (1072303902880).

Almost surely, 2^{230948280505600} is an apocalyptic number.

230948280505600 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 230948280505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347426464533120).

230948280505600 is an abundant number, since it is smaller than the sum of its proper divisors (463904648560640).

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

230948280505600 is a wasteful number, since it uses less digits than its factorization.

230948280505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45315 (or 45289 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 52.

The spelling of 230948280505600 in words is "two hundred thirty trillion, nine hundred forty-eight billion, two hundred eighty million, five hundred five thousand, six hundred".