206452138068 has 252 divisors, whose sum is σ = 617794134048. Its totient is φ = 59841199440.

The previous prime is 206452138063. The next prime is 206452138093. The reversal of 206452138068 is 860831254602.

206452138068 is a `hidden beast` number, since 2 + 0 + 6 + 452 + 138 + 0 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206452138063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8976179905 + ... + 8976179927.

It is an arithmetic number, because the mean of its divisors is an integer number (2451564024).

Almost surely, 2^206452138068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206452138068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308897067024).

206452138068 is an abundant number, since it is smaller than the sum of its proper divisors (411341995980).

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

206452138068 is an frugal number, since it uses more digits than its factorization.

206452138068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 206452138068 in words is "two hundred six billion, four hundred fifty-two million, one hundred thirty-eight thousand, sixty-eight".