34066066417 has 8 divisors (see below), whose sum is σ = 34428541896. Its totient is φ = 33703821312.

The previous prime is 34066066387. The next prime is 34066066457. The reversal of 34066066417 is 71466066043.

It can be written as a sum of positive squares in 4 ways, for example, as 10696523776 + 23369542641 = 103424^2 + 152871^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34066066417 - 2¹⁹ = 34065542129 is a prime.

It is a super-2 number, since 2×34066066417² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34066066457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248313 + ... + 360265.

It is an arithmetic number, because the mean of its divisors is an integer number (4303567737).

Almost surely, 2^34066066417 is an apocalyptic number.

It is an amenable number.

34066066417 is a deficient number, since it is larger than the sum of its proper divisors (362475479).

34066066417 is a wasteful number, since it uses less digits than its factorization.

34066066417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115187.

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 34066066417 in words is "thirty-four billion, sixty-six million, sixty-six thousand, four hundred seventeen".