34503805505 has 16 divisors (see below), whose sum is σ = 44644718160. Its totient is φ = 25448199168.

The previous prime is 34503805477. The next prime is 34503805519. The reversal of 34503805505 is 50550830543.

It is a Cunningham number, because it is equal to 185752²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 34503805504 = 1^2 + 185752^2 .

It is a cyclic number.

It is not a de Polignac number, because 34503805505 - 2¹⁴ = 34503789121 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275492 + ... + 380661.

It is an arithmetic number, because the mean of its divisors is an integer number (2790294885).

Almost surely, 2^34503805505 is an apocalyptic number.

It is an amenable number.

34503805505 is a deficient number, since it is larger than the sum of its proper divisors (10140912655).

34503805505 is a wasteful number, since it uses less digits than its factorization.

34503805505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656980.

The product of its (nonzero) digits is 180000, while the sum is 38.

The spelling of 34503805505 in words is "thirty-four billion, five hundred three million, eight hundred five thousand, five hundred five".