199672725681 has 96 divisors (see below), whose sum is σ = 344254869504. Its totient is φ = 109925424000.

The previous prime is 199672725671. The next prime is 199672725689. The reversal of 199672725681 is 186527276991.

199672725681 is a `hidden beast` number, since 1 + 9 + 9 + 67 + 2 + 7 + 2 + 568 + 1 = 666.

It is not a de Polignac number, because 199672725681 - 2⁹ = 199672725169 is a prime.

It is a super-3 number, since 3×199672725681³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (199672725689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57657156 + ... + 57660618.

It is an arithmetic number, because the mean of its divisors is an integer number (3585988224).

Almost surely, 2^199672725681 is an apocalyptic number.

199672725681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

199672725681 is a deficient number, since it is larger than the sum of its proper divisors (144582143823).

199672725681 is a wasteful number, since it uses less digits than its factorization.

199672725681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4192 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 199672725681 in words is "one hundred ninety-nine billion, six hundred seventy-two million, seven hundred twenty-five thousand, six hundred eighty-one".