8660948816601 has 27 divisors (see below), whose sum is σ = 12956906148511. Its totient is φ = 5574698800944.

The previous prime is 8660948816587. The next prime is 8660948816603. The reversal of 8660948816601 is 1066188490668.

The square root of 8660948816601 is 2942949.

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

8660948816601 is a `hidden beast` number, since 8 + 6 + 6 + 0 + 9 + 4 + 8 + 8 + 16 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4541591472201 + 4119357344400 = 2131101^2 + 2029620^2 .

It is not a de Polignac number, because 8660948816601 - 2²¹ = 8660946719449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8660948816603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256019650 + ... + 256053476.

Almost surely, 2^{8660948816601} is an apocalyptic number.

8660948816601 is the 2942949-th square number.

8660948816601 is the 1471475-th centered octagonal number.

It is an amenable number.

8660948816601 is a deficient number, since it is larger than the sum of its proper divisors (4295957331910).

8660948816601 is an frugal number, since it uses more digits than its factorization.

8660948816601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67718 (or 33859 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8660948816601 in words is "eight trillion, six hundred sixty billion, nine hundred forty-eight million, eight hundred sixteen thousand, six hundred one".