71147993495329 has 27 divisors (see below), whose sum is σ = 73477096995897. Its totient is φ = 68891355300384.

The previous prime is 71147993495311. The next prime is 71147993495333. The reversal of 71147993495329 is 92359439974117.

The square root of 71147993495329 is 8434927.

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

It can be written as a sum of positive squares in 4 ways, for example, as 678684335329 + 70469309160000 = 823823^2 + 8394600^2 .

It is not a de Polignac number, because 71147993495329 - 2²¹ = 71147991398177 is a prime.

It is a super-2 number, since 2×71147993495329² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71147993495429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86449566412 + ... + 86449567234.

It is an arithmetic number, because the mean of its divisors is an integer number (2721373962811).

Almost surely, 2^{71147993495329} is an apocalyptic number.

71147993495329 is the 8434927-th square number.

71147993495329 is the 4217464-th centered octagonal number.

It is an amenable number.

71147993495329 is a deficient number, since it is larger than the sum of its proper divisors (2329103500568).

71147993495329 is an frugal number, since it uses more digits than its factorization.

71147993495329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 1137 counting only the distinct ones).

The product of its digits is 462944160, while the sum is 73.

The spelling of 71147993495329 in words is "seventy-one trillion, one hundred forty-seven billion, nine hundred ninety-three million, four hundred ninety-five thousand, three hundred twenty-nine".