71605308608064 has 1701 divisors, whose sum is σ = 278123957573553. Its totient is φ = 17546786611200.

The previous prime is 71605308608047. The next prime is 71605308608077. The reversal of 71605308608064 is 46080680350617.

The square root of 71605308608064 is 8461992.

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

It can be written as a sum of positive squares in only one way, i.e., 53852231974464 + 17753076633600 = 7338408^2 + 4213440^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71605308608064.

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, 297117462984 + ... + 297117463224.

Almost surely, 2^{71605308608064} is an apocalyptic number.

71605308608064 is the 8461992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71605308608064

71605308608064 is an abundant number, since it is smaller than the sum of its proper divisors (206518648965489).

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

71605308608064 is a wasteful number, since it uses less digits than its factorization.

71605308608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 71605308608064 in words is "seventy-one trillion, six hundred five billion, three hundred eight million, six hundred eight thousand, sixty-four".