34541131165 has 24 divisors (see below), whose sum is σ = 44352626472. Its totient is φ = 25817456640.

The previous prime is 34541131139. The next prime is 34541131201. The reversal of 34541131165 is 56113114543.

It can be written as a sum of positive squares in 12 ways, for example, as 1203118596 + 33338012569 = 34686^2 + 182587^2 .

It is a de Polignac number, because none of the positive numbers 2^k-34541131165 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34541131165.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110725 + ... + 285205.

It is an arithmetic number, because the mean of its divisors is an integer number (1848026103).

Almost surely, 2^34541131165 is an apocalyptic number.

It is an amenable number.

34541131165 is a deficient number, since it is larger than the sum of its proper divisors (9811495307).

34541131165 is a wasteful number, since it uses less digits than its factorization.

34541131165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174657 (or 174640 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The spelling of 34541131165 in words is "thirty-four billion, five hundred forty-one million, one hundred thirty-one thousand, one hundred sixty-five".