199973529856 has 81 divisors (see below), whose sum is σ = 421566953283. Its totient is φ = 94659909120.

The previous prime is 199973529853. The next prime is 199973529883. The reversal of 199973529856 is 658925379991.

The square root of 199973529856 is 447184.

It is a perfect power (a square), and thus also a powerful number.

It is a super-3 number, since 3×199973529856³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199973529853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135943201 + ... + 135944671.

Almost surely, 2^199973529856 is an apocalyptic number.

199973529856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199973529856 is the 447184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199973529856

199973529856 is an abundant number, since it is smaller than the sum of its proper divisors (221593423427).

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

199973529856 is an frugal number, since it uses more digits than its factorization.

199973529856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996 (or 1492 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 73.

The spelling of 199973529856 in words is "one hundred ninety-nine billion, nine hundred seventy-three million, five hundred twenty-nine thousand, eight hundred fifty-six".