34066088066043 has 32 divisors (see below), whose sum is σ = 57450056302080. Its totient is φ = 19748456845920.

The previous prime is 34066088065993. The next prime is 34066088066069.

34066088066043 is a `hidden beast` number, since 3 + 406 + 60 + 8 + 80 + 6 + 60 + 43 = 666.

34066088066043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34066088066043 - 2²⁴ = 34066071288827 is a prime.

It is a super-2 number, since 2×34066088066043² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34066088061043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2493485196 + ... + 2493498857.

It is an arithmetic number, because the mean of its divisors is an integer number (1795314259440).

Almost surely, 2^{34066088066043} is an apocalyptic number.

34066088066043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34066088066043 is a deficient number, since it is larger than the sum of its proper divisors (23383968236037).

34066088066043 is a wasteful number, since it uses less digits than its factorization.

34066088066043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986984096 (or 4986984090 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 34066088066043 in words is "thirty-four trillion, sixty-six billion, eighty-eight million, sixty-six thousand, forty-three".