71311963849 has 9 divisors (see below), whose sum is σ = 82956908007. Its totient is φ = 61122938184.

The previous prime is 71311963843. The next prime is 71311963859. The reversal of 71311963849 is 94836911317.

The square root of 71311963849 is 267043.

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., 64741240249 + 6570723600 = 254443^2 + 81060^2 .

It is not a de Polignac number, because 71311963849 - 2⁹ = 71311963337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71311963796 and 71311963805.

It is not an unprimeable number, because it can be changed into a prime (71311963843) 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, 1850227 + ... + 1888375.

It is an arithmetic number, because the mean of its divisors is an integer number (9217434223).

Almost surely, 2^71311963849 is an apocalyptic number.

71311963849 is the 267043-rd square number.

71311963849 is the 133522-nd centered octagonal number.

It is an amenable number.

71311963849 is a deficient number, since it is larger than the sum of its proper divisors (11644944158).

71311963849 is an frugal number, since it uses more digits than its factorization.

71311963849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76312 (or 38156 counting only the distinct ones).

The product of its digits is 979776, while the sum is 52.

The spelling of 71311963849 in words is "seventy-one billion, three hundred eleven million, nine hundred sixty-three thousand, eight hundred forty-nine".