230671332277200 has 180 divisors, whose sum is σ = 800584170410700. Its totient is φ = 61505395445760.

The previous prime is 230671332277151. The next prime is 230671332277201. The reversal of 230671332277200 is 2772233176032.

230671332277200 is a `hidden beast` number, since 2 + 30 + 67 + 1 + 332 + 27 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 70758311945616 + 159913020331584 = 8411796^2 + 12645672^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230671332277201) 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, 28235914 + ... + 35476886.

It is an arithmetic number, because the mean of its divisors is an integer number (4447689835615).

Almost surely, 2^{230671332277200} is an apocalyptic number.

230671332277200 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 230671332277200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400292085205350).

230671332277200 is an abundant number, since it is smaller than the sum of its proper divisors (569912838133500).

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

230671332277200 is a wasteful number, since it uses less digits than its factorization.

230671332277200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249846 (or 7249832 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The spelling of 230671332277200 in words is "two hundred thirty trillion, six hundred seventy-one billion, three hundred thirty-two million, two hundred seventy-seven thousand, two hundred".