34596194713609 has 27 divisors (see below), whose sum is σ = 36080461895751. Its totient is φ = 33172239275280.

The previous prime is 34596194713603. The next prime is 34596194713621. The reversal of 34596194713609 is 90631749169543.

The square root of 34596194713609 is 5881853.

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

It can be written as a sum of positive squares in only one way, i.e., 30957150127225 + 3639044586384 = 5563915^2 + 1907628^2 .

It is not a de Polignac number, because 34596194713609 - 2¹⁵ = 34596194680841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34596194713603) 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, 15451626712 + ... + 15451628950.

Almost surely, 2^{34596194713609} is an apocalyptic number.

34596194713609 is the 5881853-rd square number.

34596194713609 is the 2940927-th centered octagonal number.

It is an amenable number.

34596194713609 is a deficient number, since it is larger than the sum of its proper divisors (1484267182142).

34596194713609 is an frugal number, since it uses more digits than its factorization.

34596194713609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4694 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 67.

The spelling of 34596194713609 in words is "thirty-four trillion, five hundred ninety-six billion, one hundred ninety-four million, seven hundred thirteen thousand, six hundred nine".