416704765561 has 24 divisors (see below), whose sum is σ = 513897007176. Its totient is φ = 335742865920.

The previous prime is 416704765489. The next prime is 416704765597. The reversal of 416704765561 is 165567407614.

It can be written as a sum of positive squares in 4 ways, for example, as 157668555625 + 259036209936 = 397075^2 + 508956^2 .

It is not a de Polignac number, because 416704765561 - 2¹¹ = 416704763513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 416704765499 and 416704765508.

It is not an unprimeable number, because it can be changed into a prime (416704769561) 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 23 ways as a sum of consecutive naturals, for example, 350071 + ... + 977731.

It is an arithmetic number, because the mean of its divisors is an integer number (21412375299).

Almost surely, 2^416704765561 is an apocalyptic number.

It is an amenable number.

416704765561 is a deficient number, since it is larger than the sum of its proper divisors (97192241615).

416704765561 is a wasteful number, since it uses less digits than its factorization.

416704765561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628489 (or 628482 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 416704765561 in words is "four hundred sixteen billion, seven hundred four million, seven hundred sixty-five thousand, five hundred sixty-one".