71656329969 has 75 divisors (see below), whose sum is σ = 125081167497. Its totient is φ = 40879017144.

The previous prime is 71656329931. The next prime is 71656329977. The reversal of 71656329969 is 96992365617.

The square root of 71656329969 is 267687.

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

71656329969 is a `hidden beast` number, since 7 + 1 + 6 + 563 + 2 + 9 + 9 + 69 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-71656329969 is a prime.

It is a super-2 number, since 2×71656329969² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71656329919) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 118049664 + ... + 118050270.

Almost surely, 2^71656329969 is an apocalyptic number.

71656329969 is the 267687-th square number.

71656329969 is the 133844-th centered octagonal number.

It is an amenable number.

71656329969 is a deficient number, since it is larger than the sum of its proper divisors (53424837528).

71656329969 is an frugal number, since it uses more digits than its factorization.

71656329969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 617 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The spelling of 71656329969 in words is "seventy-one billion, six hundred fifty-six million, three hundred twenty-nine thousand, nine hundred sixty-nine".