206321143225104 has 320 divisors, whose sum is σ = 656553667161600. Its totient is φ = 61798525544448.

The previous prime is 206321143225091. The next prime is 206321143225129. The reversal of 206321143225104 is 401522341123602.

It is a happy number.

206321143225104 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 2 + 114 + 3 + 22 + 510 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 985182 + ... + 20337474.

It is an arithmetic number, because the mean of its divisors is an integer number (2051730209880).

Almost surely, 2^{206321143225104} is an apocalyptic number.

206321143225104 is a gapful number since it is divisible by the number (24) 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 206321143225104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328276833580800).

206321143225104 is an abundant number, since it is smaller than the sum of its proper divisors (450232523936496).

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

206321143225104 is a wasteful number, since it uses less digits than its factorization.

206321143225104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19352399 (or 19352387 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 206321143225104 its reverse (401522341123602), we get a palindrome (607843484348706).

The spelling of 206321143225104 in words is "two hundred six trillion, three hundred twenty-one billion, one hundred forty-three million, two hundred twenty-five thousand, one hundred four".