208996145976601 has 9 divisors (see below), whose sum is σ = 209440313977503. Its totient is φ = 208552918041960.

The previous prime is 208996145976587. The next prime is 208996145976637. The reversal of 208996145976601 is 106679541699802.

The square root of 208996145976601 is 14456699.

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., 95306386725001 + 113689759251600 = 9762499^2 + 10662540^2 .

It is not a de Polignac number, because 208996145976601 - 2³³ = 208987556042009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208996145976001) 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, 6924743731 + ... + 6924773911.

Almost surely, 2^{208996145976601} is an apocalyptic number.

208996145976601 is the 14456699-th square number.

208996145976601 is the 7228350-th centered octagonal number.

It is an amenable number.

208996145976601 is a deficient number, since it is larger than the sum of its proper divisors (444168000902).

208996145976601 is an frugal number, since it uses more digits than its factorization.

208996145976601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61320 (or 30660 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 73.

The spelling of 208996145976601 in words is "two hundred eight trillion, nine hundred ninety-six billion, one hundred forty-five million, nine hundred seventy-six thousand, six hundred one".