1716181220961 has 135 divisors (see below), whose sum is σ = 2781567500481. Its totient is φ = 1054333909296.

The previous prime is 1716181220947. The next prime is 1716181220969. The reversal of 1716181220961 is 1690221816171.

The square root of 1716181220961 is 1310031.

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

1716181220961 is a `hidden beast` number, since 1 + 7 + 1 + 618 + 1 + 2 + 20 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 1716181220961 - 2²¹ = 1716179123809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1716181220969) 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, 10528719066 + ... + 10528719228.

Almost surely, 2^{1716181220961} is an apocalyptic number.

1716181220961 is the 1310031-st square number.

1716181220961 is the 655016-th centered octagonal number.

It is an amenable number.

1716181220961 is a deficient number, since it is larger than the sum of its proper divisors (1065386279520).

1716181220961 is an frugal number, since it uses more digits than its factorization.

1716181220961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 1716181220961 in words is "one trillion, seven hundred sixteen billion, one hundred eighty-one million, two hundred twenty thousand, nine hundred sixty-one".