34561218289 has 8 divisors (see below), whose sum is σ = 37829934632. Its totient is φ = 31379667840.

The previous prime is 34561218283. The next prime is 34561218313. The reversal of 34561218289 is 98281216543.

It can be written as a sum of positive squares in 4 ways, for example, as 697857889 + 33863360400 = 26417^2 + 184020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34561218289 - 2⁹ = 34561217777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34561218283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21790644 + ... + 21792229.

It is an arithmetic number, because the mean of its divisors is an integer number (4728741829).

Almost surely, 2^34561218289 is an apocalyptic number.

It is an amenable number.

34561218289 is a deficient number, since it is larger than the sum of its proper divisors (3268716343).

34561218289 is a wasteful number, since it uses less digits than its factorization.

34561218289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43582947.

The product of its digits is 829440, while the sum is 49.

The spelling of 34561218289 in words is "thirty-four billion, five hundred sixty-one million, two hundred eighteen thousand, two hundred eighty-nine".