199606572111961 has 135 divisors (see below), whose sum is σ = 245928290838837. Its totient is φ = 161994159054000.

The previous prime is 199606572111943. The next prime is 199606572111971. The reversal of 199606572111961 is 169111275606991.

The square root of 199606572111961 is 14128219.

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

It is not a de Polignac number, because 199606572111961 - 2³¹ = 199604424628313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199606572111893 and 199606572111902.

It is not an unprimeable number, because it can be changed into a prime (199606572111901) 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 134 ways as a sum of consecutive naturals, for example, 1523714290866 + ... + 1523714290996.

Almost surely, 2^{199606572111961} is an apocalyptic number.

199606572111961 is the 14128219-th square number.

199606572111961 is the 7064110-th centered octagonal number.

It is an amenable number.

199606572111961 is a deficient number, since it is larger than the sum of its proper divisors (46321718726876).

199606572111961 is an frugal number, since it uses more digits than its factorization.

199606572111961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 64.

The spelling of 199606572111961 in words is "one hundred ninety-nine trillion, six hundred six billion, five hundred seventy-two million, one hundred eleven thousand, nine hundred sixty-one".