199685813712 has 640 divisors, whose sum is σ = 704526336000. Its totient is φ = 48138854400.

The previous prime is 199685813689. The next prime is 199685813731. The reversal of 199685813712 is 217318586991.

Its product of digits (6531840) is a multiple of the sum of its prime factors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243222262 + ... + 243223082.

It is an arithmetic number, because the mean of its divisors is an integer number (1100822400).

Almost surely, 2^199685813712 is an apocalyptic number.

199685813712 is a gapful number since it is divisible by the number (12) 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 199685813712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352263168000).

199685813712 is an abundant number, since it is smaller than the sum of its proper divisors (504840522288).

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

199685813712 is a wasteful number, since it uses less digits than its factorization.

199685813712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 940 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The spelling of 199685813712 in words is "one hundred ninety-nine billion, six hundred eighty-five million, eight hundred thirteen thousand, seven hundred twelve".