272086381161 has 81 divisors (see below), whose sum is σ = 466166570103. Its totient is φ = 152479666080.

The previous prime is 272086381141. The next prime is 272086381187. The reversal of 272086381161 is 161183680272.

The square root of 272086381161 is 521619.

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

272086381161 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 8 + 638 + 1 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1291036761 + 270795344400 = 35931^2 + 520380^2 .

It is not a de Polignac number, because 272086381161 - 2⁷ = 272086381033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (272086381141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 646285731 + ... + 646286151.

Almost surely, 2^272086381161 is an apocalyptic number.

272086381161 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

272086381161 is the 521619-th square number.

272086381161 is the 260810-th centered octagonal number.

It is an amenable number.

272086381161 is a deficient number, since it is larger than the sum of its proper divisors (194080188942).

272086381161 is an frugal number, since it uses more digits than its factorization.

272086381161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 272086381161 in words is "two hundred seventy-two billion, eighty-six million, three hundred eighty-one thousand, one hundred sixty-one".