71431649289 has 243 divisors, whose sum is σ = 144479979189. Its totient is φ = 33868074240.

The previous prime is 71431649279. The next prime is 71431649293. The reversal of 71431649289 is 98294613417.

The square root of 71431649289 is 267267.

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

71431649289 is a `hidden beast` number, since 7 + 1 + 4 + 316 + 49 + 289 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31228191225 + 40203458064 = 176715^2 + 200508^2 .

It is not a de Polignac number, because 71431649289 - 2⁷ = 71431649161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71431649269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 802602757 + ... + 802602845.

Almost surely, 2^71431649289 is an apocalyptic number.

71431649289 is the 267267-th square number.

71431649289 is the 133634-th centered octagonal number.

It is an amenable number.

71431649289 is an abundant number, since it is smaller than the sum of its proper divisors (73048329900).

71431649289 is a wasteful number, since it uses less digits than its factorization.

71431649289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 123 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 71431649289 in words is "seventy-one billion, four hundred thirty-one million, six hundred forty-nine thousand, two hundred eighty-nine".