206230661674200 has 1536 divisors, whose sum is σ = 789460328448000. Its totient is φ = 49262846976000.

The previous prime is 206230661674139. The next prime is 206230661674207. The reversal of 206230661674200 is 2476166032602.

206230661674200 is a `hidden beast` number, since 2 + 0 + 6 + 2 + 3 + 0 + 6 + 616 + 7 + 4 + 20 + 0 = 666.

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 (206230661674207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44341141875 + ... + 44341146525.

It is an arithmetic number, because the mean of its divisors is an integer number (513971568000).

Almost surely, 2^{206230661674200} is an apocalyptic number.

206230661674200 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 206230661674200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394730164224000).

206230661674200 is an abundant number, since it is smaller than the sum of its proper divisors (583229666773800).

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

206230661674200 is a wasteful number, since it uses less digits than its factorization.

206230661674200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 206230661674200 in words is "two hundred six trillion, two hundred thirty billion, six hundred sixty-one million, six hundred seventy-four thousand, two hundred".