17416274304961 has 49 divisors (see below), whose sum is σ = 21242551192801. Its totient is φ = 14279181417732.

The previous prime is 17416274304959. The next prime is 17416274304971. The reversal of 17416274304961 is 16940347261471.

The square root of 17416274304961 is 4173281.

The cubic root of 17416274304961 is 25921.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (49).

It is not a de Polignac number, because 17416274304961 - 2¹ = 17416274304959 is a prime.

It is a super-2 number, since 2×17416274304961² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17416274304911) by changing a digit.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 757229317596 + ... + 757229317618.

Almost surely, 2^{17416274304961} is an apocalyptic number.

17416274304961 is the 4173281-st square number.

17416274304961 is the 2086641-st centered octagonal number.

It is an amenable number.

17416274304961 is a deficient number, since it is larger than the sum of its proper divisors (3826276887840).

17416274304961 is an frugal number, since it uses more digits than its factorization.

17416274304961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 17416274304961 in words is "seventeen trillion, four hundred sixteen billion, two hundred seventy-four million, three hundred four thousand, nine hundred sixty-one".