208672730269081 has 27 divisors (see below), whose sum is σ = 234025713020151. Its totient is φ = 185974025275584.

The previous prime is 208672730269057. The next prime is 208672730269141. The reversal of 208672730269081 is 180962037276802.

The square root of 208672730269081 is 14445509.

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

It can be written as a sum of positive squares in 13 ways, for example, as 147761261292681 + 60911468976400 = 12155709^2 + 7804580^2 .

It is not a de Polignac number, because 208672730269081 - 2⁴¹ = 206473707013529 is a prime.

It is a super-2 number, since 2×208672730269081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208672730269981) 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, 5445937735 + ... + 5445976051.

Almost surely, 2^{208672730269081} is an apocalyptic number.

208672730269081 is the 14445509-th square number.

208672730269081 is the 7222755-th centered octagonal number.

It is an amenable number.

208672730269081 is a deficient number, since it is larger than the sum of its proper divisors (25352982751070).

208672730269081 is an frugal number, since it uses more digits than its factorization.

208672730269081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76718 (or 38359 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 208672730269081 in words is "two hundred eight trillion, six hundred seventy-two billion, seven hundred thirty million, two hundred sixty-nine thousand, eighty-one".