17648325409 has 27 divisors (see below), whose sum is σ = 21028190169. Its totient is φ = 14793841920.

The previous prime is 17648325407. The next prime is 17648325433. The reversal of 17648325409 is 90452384671.

It is a happy number.

The square root of 17648325409 is 132847.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13074779025 + 4573546384 = 114345^2 + 67628^2 .

It is not a de Polignac number, because 17648325409 - 2¹ = 17648325407 is a prime.

It is a super-2 number, since 2×17648325409² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17648325407) 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, 18996657 + ... + 18997585.

It is a 1-persistent number, because it is pandigital, but 2⋅17648325409 = 35296650818 is not.

Almost surely, 2^17648325409 is an apocalyptic number.

17648325409 is the 132847-th square number.

17648325409 is the 66424-th centered octagonal number.

It is an amenable number.

17648325409 is a deficient number, since it is larger than the sum of its proper divisors (3379864760).

17648325409 is an frugal number, since it uses more digits than its factorization.

17648325409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 17648325409 by its sum of digits (49), we get a square (864767945041 = 929929²).

The spelling of 17648325409 in words is "seventeen billion, six hundred forty-eight million, three hundred twenty-five thousand, four hundred nine".