199818216182016 has 144 divisors (see below), whose sum is σ = 603469909190400. Its totient is φ = 65188921485312.

The previous prime is 199818216181999. The next prime is 199818216182029. The reversal of 199818216182016 is 610281612818991.

199818216182016 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 1 + 8 + 2 + 1 + 618 + 2 + 0 + 1 + 6 = 666.

199818216182016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307216471 + ... + 307866198.

Almost surely, 2^{199818216182016} is an apocalyptic number.

199818216182016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199818216182016 is an abundant number, since it is smaller than the sum of its proper divisors (403651693008384).

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

199818216182016 is an equidigital number, since it uses as much as digits as its factorization.

199818216182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615082741 (or 615082721 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 63.

The spelling of 199818216182016 in words is "one hundred ninety-nine trillion, eight hundred eighteen billion, two hundred sixteen million, one hundred eighty-two thousand, sixteen".