34646555564643 has 32 divisors (see below), whose sum is σ = 51782680742400. Its totient is φ = 20420270760960.

The previous prime is 34646555564629. The next prime is 34646555564653.

It is a happy number.

34646555564643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34646555564643 - 2⁴⁰ = 33547043936867 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34646555564623) 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 31 ways as a sum of consecutive naturals, for example, 4571343 + ... + 9496856.

It is an arithmetic number, because the mean of its divisors is an integer number (1618208773200).

Almost surely, 2^{34646555564643} is an apocalyptic number.

34646555564643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34646555564643 is a deficient number, since it is larger than the sum of its proper divisors (17136125177757).

34646555564643 is a wasteful number, since it uses less digits than its factorization.

34646555564643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070267.

The product of its digits is 1866240000, while the sum is 66.

The spelling of 34646555564643 in words is "thirty-four trillion, six hundred forty-six billion, five hundred fifty-five million, five hundred sixty-four thousand, six hundred forty-three".