34665056643 has 32 divisors (see below), whose sum is σ = 56357199360. Its totient is φ = 18501050880.

The previous prime is 34665056641. The next prime is 34665056681.

34665056643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34665056643 - 2¹ = 34665056641 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34665056592 and 34665056601.

It is not an unprimeable number, because it can be changed into a prime (34665056641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323848 + ... + 417381.

It is an arithmetic number, because the mean of its divisors is an integer number (1761162480).

Almost surely, 2^34665056643 is an apocalyptic number.

34665056643 is a deficient number, since it is larger than the sum of its proper divisors (21692142717).

34665056643 is a wasteful number, since it uses less digits than its factorization.

34665056643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741387.

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 34665056643 in words is "thirty-four billion, six hundred sixty-five million, fifty-six thousand, six hundred forty-three".