161006432146561 has 9 divisors (see below), whose sum is σ = 161163507899331. Its totient is φ = 160849509373584.

The previous prime is 161006432146543. The next prime is 161006432146643. The reversal of 161006432146561 is 165641234600161.

The square root of 161006432146561 is 12688831.

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

It can be written as a sum of positive squares in only one way, i.e., 13672475012161 + 147333957134400 = 3697631^2 + 12138120^2 .

It is not a de Polignac number, because 161006432146561 - 2³⁵ = 160972072408193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (161006432146541) 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 8 ways as a sum of consecutive naturals, for example, 14325684580 + ... + 14325695818.

It is an arithmetic number, because the mean of its divisors is an integer number (17907056433259).

Almost surely, 2^{161006432146561} is an apocalyptic number.

161006432146561 is the 12688831-st square number.

161006432146561 is the 6344416-th centered octagonal number.

It is an amenable number.

161006432146561 is a deficient number, since it is larger than the sum of its proper divisors (157075752770).

161006432146561 is an frugal number, since it uses more digits than its factorization.

161006432146561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24736 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 161006432146561 in words is "one hundred sixty-one trillion, six billion, four hundred thirty-two million, one hundred forty-six thousand, five hundred sixty-one".