8817164135641 has 9 divisors (see below), whose sum is σ = 8872076048031. Its totient is φ = 8762590066032.

The previous prime is 8817164135627. The next prime is 8817164135651. The reversal of 8817164135641 is 1465314617188.

It is a happy number.

The square root of 8817164135641 is 2969371.

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., 2008696771225 + 6808467364416 = 1417285^2 + 2609304^2 .

It is not a de Polignac number, because 8817164135641 - 2⁵ = 8817164135609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8817164135651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 483998365 + ... + 484016581.

It is an arithmetic number, because the mean of its divisors is an integer number (985786227559).

Almost surely, 2^{8817164135641} is an apocalyptic number.

8817164135641 is the 2969371-st square number.

8817164135641 is the 1484686-th centered octagonal number.

It is an amenable number.

8817164135641 is a deficient number, since it is larger than the sum of its proper divisors (54911912390).

8817164135641 is an frugal number, since it uses more digits than its factorization.

8817164135641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36760 (or 18380 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 55.

The spelling of 8817164135641 in words is "eight trillion, eight hundred seventeen billion, one hundred sixty-four million, one hundred thirty-five thousand, six hundred forty-one".