27211471681 has 9 divisors (see below), whose sum is σ = 27353245219. Its totient is φ = 27070431736.

The previous prime is 27211471667. The next prime is 27211471733. The reversal of 27211471681 is 18617411272.

It is a happy number.

The square root of 27211471681 is 164959.

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., 25745807025 + 1465664656 = 160455^2 + 38284^2 .

It is not a de Polignac number, because 27211471681 - 2⁹ = 27211471169 is a prime.

It is a super-2 number, since 2×27211471681² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27211471601) 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, 48332706 + ... + 48333268.

Almost surely, 2^27211471681 is an apocalyptic number.

27211471681 is the 164959-th square number.

27211471681 is the 82480-th centered octagonal number.

It is an amenable number.

27211471681 is a deficient number, since it is larger than the sum of its proper divisors (141773538).

27211471681 is an frugal number, since it uses more digits than its factorization.

27211471681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 856 counting only the distinct ones).

The product of its digits is 37632, while the sum is 40.

The spelling of 27211471681 in words is "twenty-seven billion, two hundred eleven million, four hundred seventy-one thousand, six hundred eighty-one".