206646138944 has 224 divisors, whose sum is σ = 523521066240. Its totient is φ = 78785740800.

The previous prime is 206646138917. The next prime is 206646138947. The reversal of 206646138944 is 449831646602.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (206646138947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75389414 + ... + 75392154.

Almost surely, 2^206646138944 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 206646138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261760533120).

206646138944 is an abundant number, since it is smaller than the sum of its proper divisors (316874927296).

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

206646138944 is a wasteful number, since it uses less digits than its factorization.

206646138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3317 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 53.

The spelling of 206646138944 in words is "two hundred six billion, six hundred forty-six million, one hundred thirty-eight thousand, nine hundred forty-four".