17132715664 has 45 divisors (see below), whose sum is σ = 34029274089. Its totient is φ = 8356145280.

The previous prime is 17132715661. The next prime is 17132715673. The reversal of 17132715664 is 46651723171.

The square root of 17132715664 is 130892.

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., 44997264 + 17087718400 = 6708^2 + 130720^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 17132715664.

It is not an unprimeable number, because it can be changed into a prime (17132715661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22513044 + ... + 22513804.

Almost surely, 2^17132715664 is an apocalyptic number.

17132715664 is the 130892-nd square number.

It is an amenable number.

17132715664 is a deficient number, since it is larger than the sum of its proper divisors (16896558425).

17132715664 is an frugal number, since it uses more digits than its factorization.

17132715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 806 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The spelling of 17132715664 in words is "seventeen billion, one hundred thirty-two million, seven hundred fifteen thousand, six hundred sixty-four".