17478411356961 has 27 divisors (see below), whose sum is σ = 25359653740057. Its totient is φ = 11600324623680.

The previous prime is 17478411356873. The next prime is 17478411357037. The reversal of 17478411356961 is 16965311487471.

The square root of 17478411356961 is 4180719.

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

17478411356961 is a `hidden beast` number, since 1 + 7 + 4 + 7 + 8 + 4 + 1 + 1 + 3 + 569 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11374329582225 + 6104081774736 = 3372585^2 + 2470644^2 .

It is not a de Polignac number, because 17478411356961 - 2¹¹ = 17478411354913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17478411366961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2922319591 + ... + 2922325571.

Almost surely, 2^{17478411356961} is an apocalyptic number.

17478411356961 is the 4180719-th square number.

17478411356961 is the 2090360-th centered octagonal number.

It is an amenable number.

17478411356961 is a deficient number, since it is larger than the sum of its proper divisors (7881242383096).

17478411356961 is an frugal number, since it uses more digits than its factorization.

17478411356961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 6217 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 17478411356961 in words is "seventeen trillion, four hundred seventy-eight billion, four hundred eleven million, three hundred fifty-six thousand, nine hundred sixty-one".