17005985649 has 27 divisors (see below), whose sum is σ = 26104360737. Its totient is φ = 10666249344.

The previous prime is 17005985629. The next prime is 17005985669. The reversal of 17005985649 is 94658950071.

The square root of 17005985649 is 130407.

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

17005985649 is a `hidden beast` number, since 1 + 7 + 0 + 0 + 598 + 5 + 6 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (17005985629) and next prime (17005985669).

It can be written as a sum of positive squares in 4 ways, for example, as 841406049 + 16164579600 = 29007^2 + 127140^2 .

It is not a de Polignac number, because 17005985649 - 2¹⁵ = 17005952881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 17005985595 and 17005985604.

It is not an unprimeable number, because it can be changed into a prime (17005985629) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6649479 + ... + 6652035.

Almost surely, 2^17005985649 is an apocalyptic number.

17005985649 is the 130407-th square number.

17005985649 is the 65204-th centered octagonal number.

It is an amenable number.

17005985649 is a deficient number, since it is larger than the sum of its proper divisors (9098375088).

17005985649 is an frugal number, since it uses more digits than its factorization.

17005985649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5154 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 17005985649 in words is "seventeen billion, five million, nine hundred eighty-five thousand, six hundred forty-nine".