34565874561 has 27 divisors (see below), whose sum is σ = 51733733961. Its totient is φ = 22238887104.

The previous prime is 34565874523. The next prime is 34565874571. The reversal of 34565874561 is 16547856543.

It is a happy number.

The square root of 34565874561 is 185919.

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

34565874561 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 5 + 8 + 74 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9334458225 + 25231416336 = 96615^2 + 158844^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34565874561 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 34565874498 and 34565874507.

It is not an unprimeable number, because it can be changed into a prime (34565874571) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16173885 + ... + 16176021.

Almost surely, 2^34565874561 is an apocalyptic number.

34565874561 is the 185919-th square number.

34565874561 is the 92960-th centered octagonal number.

It is an amenable number.

34565874561 is a deficient number, since it is larger than the sum of its proper divisors (17167859400).

34565874561 is an frugal number, since it uses more digits than its factorization.

34565874561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 2169 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 34565874561 in words is "thirty-four billion, five hundred sixty-five million, eight hundred seventy-four thousand, five hundred sixty-one".