34661288216643 has 32 divisors (see below), whose sum is σ = 50459952751872. Its totient is φ = 20988709632000.

The previous prime is 34661288216587. The next prime is 34661288216677.

34661288216643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34661288216643 - 2²⁴ = 34661271439427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34661288216683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196456755 + ... + 196633107.

It is an arithmetic number, because the mean of its divisors is an integer number (1576873523496).

Almost surely, 2^{34661288216643} is an apocalyptic number.

34661288216643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34661288216643 is a deficient number, since it is larger than the sum of its proper divisors (15798664535229).

34661288216643 is a wasteful number, since it uses less digits than its factorization.

34661288216643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181475.

The product of its digits is 47775744, while the sum is 60.

The spelling of 34661288216643 in words is "thirty-four trillion, six hundred sixty-one billion, two hundred eighty-eight million, two hundred sixteen thousand, six hundred forty-three".