199756245430081 has 8 divisors (see below), whose sum is σ = 202251523311144. Its totient is φ = 197273731119360.

The previous prime is 199756245430019. The next prime is 199756245430129. The reversal of 199756245430081 is 180034542657991.

It can be written as a sum of positive squares in 4 ways, for example, as 18638077689856 + 181118167740225 = 4317184^2 + 13458015^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 199756245430081 - 2⁷ = 199756245429953 is a prime.

It is a super-5 number, since 5×199756245430081⁵ (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199756245429995 and 199756245430022.

It is not an unprimeable number, because it can be changed into a prime (199756245437081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3190861090 + ... + 3190923691.

It is an arithmetic number, because the mean of its divisors is an integer number (25281440413893).

It is a 1-persistent number, because it is pandigital, but 2⋅199756245430081 = 399512490860162 is not.

Almost surely, 2^{199756245430081} is an apocalyptic number.

It is an amenable number.

199756245430081 is a deficient number, since it is larger than the sum of its proper divisors (2495277881063).

199756245430081 is a wasteful number, since it uses less digits than its factorization.

199756245430081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381785171.

The product of its (nonzero) digits is 65318400, while the sum is 64.

The spelling of 199756245430081 in words is "one hundred ninety-nine trillion, seven hundred fifty-six billion, two hundred forty-five million, four hundred thirty thousand, eighty-one".