271656736849 has 9 divisors (see below), whose sum is σ = 273380758491. Its totient is φ = 269943529440.

The previous prime is 271656736831. The next prime is 271656736951. The reversal of 271656736849 is 948637656172.

The square root of 271656736849 is 521207.

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., 174055249 + 271482681600 = 13193^2 + 521040^2 .

It is not a de Polignac number, because 271656736849 - 2¹⁷ = 271656605777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (271656736349) 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, 87040009 + ... + 87043129.

Almost surely, 2^271656736849 is an apocalyptic number.

271656736849 is the 521207-th square number.

271656736849 is the 260604-th centered octagonal number.

It is an amenable number.

271656736849 is a deficient number, since it is larger than the sum of its proper divisors (1724021642).

271656736849 is an frugal number, since it uses more digits than its factorization.

271656736849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 3288 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

Multiplying 271656736849 by its sum of digits (64), we get a square (17386031158336 = 4169656²).

The spelling of 271656736849 in words is "two hundred seventy-one billion, six hundred fifty-six million, seven hundred thirty-six thousand, eight hundred forty-nine".