5817705408064 has 63 divisors (see below), whose sum is σ = 12689882151681. Its totient is φ = 2644315069440.

The previous prime is 5817705408007. The next prime is 5817705408089. The reversal of 5817705408064 is 4608045077185.

The square root of 5817705408064 is 2411992.

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., 222399014464 + 5595306393600 = 471592^2 + 2365440^2 .

It is a super-2 number, since 2×5817705408064² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5817705407996 and 5817705408014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212241592 + ... + 212269000.

Almost surely, 2^{5817705408064} is an apocalyptic number.

5817705408064 is the 2411992-nd square number.

It is an amenable number.

5817705408064 is an abundant number, since it is smaller than the sum of its proper divisors (6872176743617).

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

5817705408064 is an frugal number, since it uses more digits than its factorization.

5817705408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54852 (or 27422 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 55.

The spelling of 5817705408064 in words is "five trillion, eight hundred seventeen billion, seven hundred five million, four hundred eight thousand, sixty-four".