17121460801 has 27 divisors (see below), whose sum is σ = 18725266371. Its totient is φ = 15651633984.

The previous prime is 17121460789. The next prime is 17121460841. The reversal of 17121460801 is 10806412171.

The square root of 17121460801 is 130849.

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., 13329857025 + 3791603776 = 115455^2 + 61576^2 .

It is not a de Polignac number, because 17121460801 - 2⁹ = 17121460289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17121460841) 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, 95650530 + ... + 95650708.

Almost surely, 2^17121460801 is an apocalyptic number.

17121460801 is the 130849-th square number.

17121460801 is the 65425-th centered octagonal number.

It is an amenable number.

17121460801 is a deficient number, since it is larger than the sum of its proper divisors (1603805570).

17121460801 is an frugal number, since it uses more digits than its factorization.

17121460801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

Adding to 17121460801 its reverse (10806412171), we get a palindrome (27927872972).

The spelling of 17121460801 in words is "seventeen billion, one hundred twenty-one million, four hundred sixty thousand, eight hundred one".