206442213516 has 144 divisors (see below), whose sum is σ = 672343472640. Its totient is φ = 53621330400.

The previous prime is 206442213511. The next prime is 206442213517. The reversal of 206442213516 is 615312244602.

206442213516 is a `hidden beast` number, since 2 + 0 + 644 + 2 + 2 + 1 + 3 + 5 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (206442213511) 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 47 ways as a sum of consecutive naturals, for example, 1036920 + ... + 1219871.

Almost surely, 2^206442213516 is an apocalyptic number.

It is an amenable number.

206442213516 is an abundant number, since it is smaller than the sum of its proper divisors (465901259124).

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

206442213516 is a wasteful number, since it uses less digits than its factorization.

206442213516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256833 (or 2256814 counting only the distinct ones).

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

The spelling of 206442213516 in words is "two hundred six billion, four hundred forty-two million, two hundred thirteen thousand, five hundred sixteen".