71105955649 has 9 divisors (see below), whose sum is σ = 71383557441. Its totient is φ = 70829432340.

The previous prime is 71105955611. The next prime is 71105955659. The reversal of 71105955649 is 94655950117.

The square root of 71105955649 is 266657.

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

It is not a de Polignac number, because 71105955649 - 2⁷ = 71105955521 is a prime.

It is a super-2 number, since 2×71105955649² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71105955596 and 71105955605.

It is not an unprimeable number, because it can be changed into a prime (71105955659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 124528534 + ... + 124529104.

Almost surely, 2^71105955649 is an apocalyptic number.

71105955649 is the 266657-th square number.

71105955649 is the 133329-th centered octagonal number.

It is an amenable number.

71105955649 is a deficient number, since it is larger than the sum of its proper divisors (277601792).

71105955649 is an frugal number, since it uses more digits than its factorization.

71105955649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 52.

The spelling of 71105955649 in words is "seventy-one billion, one hundred five million, nine hundred fifty-five thousand, six hundred forty-nine".