34523306655565 has 48 divisors (see below), whose sum is σ = 54951642173232. Its totient is φ = 20566696421376.

The previous prime is 34523306655559. The next prime is 34523306655577. The reversal of 34523306655565 is 56555660332543.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6799311787401 + 27723994868164 = 2607549^2 + 5265358^2 .

It is not a de Polignac number, because 34523306655565 - 2⁷ = 34523306655437 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318750054 + ... + 318858343.

It is an arithmetic number, because the mean of its divisors is an integer number (1144825878609).

Almost surely, 2^{34523306655565} is an apocalyptic number.

34523306655565 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34523306655565 is a deficient number, since it is larger than the sum of its proper divisors (20428335517667).

34523306655565 is a wasteful number, since it uses less digits than its factorization.

34523306655565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637608446 (or 637608439 counting only the distinct ones).

The product of its (nonzero) digits is 145800000, while the sum is 58.

The spelling of 34523306655565 in words is "thirty-four trillion, five hundred twenty-three billion, three hundred six million, six hundred fifty-five thousand, five hundred sixty-five".