71163160302276 has 729 divisors, whose sum is σ = 223754882157261. Its totient is φ = 19744691875776.

The previous prime is 71163160302209. The next prime is 71163160302313. The reversal of 71163160302276 is 67220306136117.

The square root of 71163160302276 is 8435826.

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

71163160302276 is a `hidden beast` number, since 7 + 1 + 1 + 6 + 31 + 603 + 0 + 2 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64733771232900 + 6429389069376 = 8045730^2 + 2535624^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 411347747326 + ... + 411347747498.

Almost surely, 2^{71163160302276} is an apocalyptic number.

71163160302276 is the 8435826-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71163160302276

71163160302276 is an abundant number, since it is smaller than the sum of its proper divisors (152591721854985).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71163160302276 is an frugal number, since it uses more digits than its factorization.

71163160302276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 71163160302276 in words is "seventy-one trillion, one hundred sixty-three billion, one hundred sixty million, three hundred two thousand, two hundred seventy-six".