166198300200 has 192 divisors, whose sum is σ = 606135312000. Its totient is φ = 41712491520.

The previous prime is 166198300199. The next prime is 166198300211. The reversal of 166198300200 is 2003891661.

166198300200 is a `hidden beast` number, since 1 + 6 + 61 + 98 + 300 + 200 = 666.

It is a super-3 number, since 3×166198300200³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813420 + ... + 997019.

It is an arithmetic number, because the mean of its divisors is an integer number (3156954750).

Almost surely, 2^166198300200 is an apocalyptic number.

166198300200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166198300200 is an abundant number, since it is smaller than the sum of its proper divisors (439937011800).

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

166198300200 is a wasteful number, since it uses less digits than its factorization.

166198300200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810481 (or 1810466 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 166198300200 in words is "one hundred sixty-six billion, one hundred ninety-eight million, three hundred thousand, two hundred".