34608411480643 has 16 divisors (see below), whose sum is σ = 46467237793536. Its totient is φ = 24893163102240.

The previous prime is 34608411480581. The next prime is 34608411480661.

34608411480643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34608411480643 - 2²⁵ = 34608377926211 is a prime.

It is a super-3 number, since 3×34608411480643³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (34608411480343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17286917821 + ... + 17286919822.

It is an arithmetic number, because the mean of its divisors is an integer number (2904202362096).

Almost surely, 2^{34608411480643} is an apocalyptic number.

34608411480643 is a deficient number, since it is larger than the sum of its proper divisors (11858826312893).

34608411480643 is a wasteful number, since it uses less digits than its factorization.

34608411480643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34573837674.

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 34608411480643 in words is "thirty-four trillion, six hundred eight billion, four hundred eleven million, four hundred eighty thousand, six hundred forty-three".