34144606089 has 48 divisors (see below), whose sum is σ = 56693145600. Its totient is φ = 19584568800.

The previous prime is 34144606079. The next prime is 34144606091. The reversal of 34144606089 is 98060644143.

34144606089 is a `hidden beast` number, since 34 + 1 + 4 + 4 + 6 + 0 + 608 + 9 = 666.

It is not a de Polignac number, because 34144606089 - 2⁹ = 34144605577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34144606009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945624 + ... + 1963094.

It is an arithmetic number, because the mean of its divisors is an integer number (1181107200).

Almost surely, 2^34144606089 is an apocalyptic number.

It is an amenable number.

34144606089 is a deficient number, since it is larger than the sum of its proper divisors (22548539511).

34144606089 is a wasteful number, since it uses less digits than its factorization.

34144606089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18546 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 34144606089 in words is "thirty-four billion, one hundred forty-four million, six hundred six thousand, eighty-nine".