199216414800 has 180 divisors, whose sum is σ = 744516187324. Its totient is φ = 49037875200.

The previous prime is 199216414769. The next prime is 199216414801. The reversal of 199216414800 is 8414612991.

It is a happy number.

199216414800 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 164 + 1 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 75205383696 + 124011031104 = 274236^2 + 352152^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199216414801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2081581 + ... + 2175180.

Almost surely, 2^199216414800 is an apocalyptic number.

199216414800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199216414800 is an abundant number, since it is smaller than the sum of its proper divisors (545299772524).

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

199216414800 is a wasteful number, since it uses less digits than its factorization.

199216414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256798 (or 4256784 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 199216414800 in words is "one hundred ninety-nine billion, two hundred sixteen million, four hundred fourteen thousand, eight hundred".