199994766268000 has 1152 divisors, whose sum is σ = 565502908658688. Its totient is φ = 69469720320000.

The previous prime is 199994766267983. The next prime is 199994766268013. The reversal of 199994766268000 is 862667499991.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 199994766267899 and 199994766267908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 643069987845 + ... + 643069988155.

It is an arithmetic number, because the mean of its divisors is an integer number (490887941544).

Almost surely, 2^{199994766268000} is an apocalyptic number.

199994766268000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199994766268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282751454329344).

199994766268000 is an abundant number, since it is smaller than the sum of its proper divisors (365508142390688).

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

199994766268000 is an equidigital number, since it uses as much as digits as its factorization.

199994766268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 76.

The spelling of 199994766268000 in words is "one hundred ninety-nine trillion, nine hundred ninety-four billion, seven hundred sixty-six million, two hundred sixty-eight thousand".