561467464764165 has 48 divisors (see below), whose sum is σ = 989282491682160. Its totient is φ = 294505187005440.

The previous prime is 561467464764091. The next prime is 561467464764209.

561467464764165 is a `hidden beast` number, since 5 + 6 + 1 + 4 + 67 + 464 + 7 + 6 + 41 + 65 = 666.

561467464764165 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 13126984041924 + 548340480722241 = 3623118^2 + 23416671^2 .

It is not a de Polignac number, because 561467464764165 - 2⁴¹ = 559268441508613 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 561467464764093 and 561467464764102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10836729 + ... + 35218881.

It is an arithmetic number, because the mean of its divisors is an integer number (20610051910045).

Almost surely, 2^{561467464764165} is an apocalyptic number.

It is an amenable number.

561467464764165 is a deficient number, since it is larger than the sum of its proper divisors (427815026917995).

561467464764165 is a wasteful number, since it uses less digits than its factorization.

561467464764165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24390614 (or 24390611 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 561467464764165 in words is "five hundred sixty-one trillion, four hundred sixty-seven billion, four hundred sixty-four million, seven hundred sixty-four thousand, one hundred sixty-five".