34261814205 has 54 divisors (see below), whose sum is σ = 60961521582. Its totient is φ = 17800796160.

The previous prime is 34261814159. The next prime is 34261814207. The reversal of 34261814205 is 50241816243.

It is a happy number.

34261814205 is a `hidden beast` number, since 3 + 4 + 2 + 618 + 14 + 20 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 29857766436 + 4404047769 = 172794^2 + 66363^2 .

It is not a de Polignac number, because 34261814205 - 2¹⁰ = 34261813181 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34261814205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34261814207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 50908749 + ... + 50909421.

Almost surely, 2^34261814205 is an apocalyptic number.

It is an amenable number.

34261814205 is a deficient number, since it is larger than the sum of its proper divisors (26699707377).

34261814205 is an frugal number, since it uses more digits than its factorization.

34261814205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 34261814205 in words is "thirty-four billion, two hundred sixty-one million, eight hundred fourteen thousand, two hundred five".