71461586329 has 9 divisors (see below), whose sum is σ = 83130960927. Its totient is φ = 61251184344.

The previous prime is 71461586249. The next prime is 71461586387. The reversal of 71461586329 is 92368516417.

The square root of 71461586329 is 267323.

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., 6752401929 + 64709184400 = 82173^2 + 254380^2 .

It is not a de Polignac number, because 71461586329 - 2¹¹ = 71461584281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71461586429) 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, 1852167 + ... + 1890355.

Almost surely, 2^71461586329 is an apocalyptic number.

71461586329 is the 267323-rd square number.

71461586329 is the 133662-nd centered octagonal number.

It is an amenable number.

71461586329 is a deficient number, since it is larger than the sum of its proper divisors (11669374598).

71461586329 is an frugal number, since it uses more digits than its factorization.

71461586329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76392 (or 38196 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 71461586329 in words is "seventy-one billion, four hundred sixty-one million, five hundred eighty-six thousand, three hundred twenty-nine".