20417465807761 has 81 divisors (see below), whose sum is σ = 23651967645201. Its totient is φ = 17611574534400.

The previous prime is 20417465807759. The next prime is 20417465807779. The reversal of 20417465807761 is 16770856471402.

The square root of 20417465807761 is 4518569.

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 12168760140625 + 8248705667136 = 3488375^2 + 2872056^2 .

It is not a de Polignac number, because 20417465807761 - 2¹ = 20417465807759 is a prime.

It is a super-2 number, since 2×20417465807761² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20417465807696 and 20417465807705.

It is not an unprimeable number, because it can be changed into a prime (20417465807741) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 87628608501 + ... + 87628608733.

Almost surely, 2^{20417465807761} is an apocalyptic number.

20417465807761 is the 4518569-th square number.

20417465807761 is the 2259285-th centered octagonal number.

It is an amenable number.

20417465807761 is a deficient number, since it is larger than the sum of its proper divisors (3234501837440).

20417465807761 is an frugal number, since it uses more digits than its factorization.

20417465807761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 58.

The spelling of 20417465807761 in words is "twenty trillion, four hundred seventeen billion, four hundred sixty-five million, eight hundred seven thousand, seven hundred sixty-one".