206161910928 has 120 divisors (see below), whose sum is σ = 588920719608. Its totient is φ = 67301584896.

The previous prime is 206161910909. The next prime is 206161910951. The reversal of 206161910928 is 829019161602.

206161910928 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 619 + 1 + 0 + 9 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1181159424 + 204980751504 = 34368^2 + 452748^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4226776 + ... + 4275272.

Almost surely, 2^206161910928 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 206161910928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294460359804).

206161910928 is an abundant number, since it is smaller than the sum of its proper divisors (382758808680).

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

206161910928 is a wasteful number, since it uses less digits than its factorization.

206161910928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49121 (or 49112 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 206161910928 in words is "two hundred six billion, one hundred sixty-one million, nine hundred ten thousand, nine hundred twenty-eight".