71080681836096 has 63 divisors (see below), whose sum is σ = 203740520450961. Its totient is φ = 23693493164544.

The previous prime is 71080681836037. The next prime is 71080681836107. The reversal of 71080681836096 is 69063818608017.

The square root of 71080681836096 is 8430936.

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

71080681836096 is a `hidden beast` number, since 7 + 1 + 0 + 8 + 0 + 6 + 8 + 18 + 3 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40376670981696 + 30704010854400 = 6354264^2 + 5541120^2 .

It is an unprimeable number.

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, 202166820 + ... + 202518108.

Almost surely, 2^{71080681836096} is an apocalyptic number.

71080681836096 is the 8430936-th square number.

It is an amenable number.

71080681836096 is an abundant number, since it is smaller than the sum of its proper divisors (132659838614865).

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

71080681836096 is an frugal number, since it uses more digits than its factorization.

71080681836096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702596 (or 351294 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 71080681836096 in words is "seventy-one trillion, eighty billion, six hundred eighty-one million, eight hundred thirty-six thousand, ninety-six".