34628566582643 has 12 divisors (see below), whose sum is σ = 38062958967264. Its totient is φ = 31480387395600.

The previous prime is 34628566582619. The next prime is 34628566582657.

34628566582643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34628566582643 - 2¹⁸ = 34628566320499 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34628566582693) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42593813 + ... + 43399193.

It is an arithmetic number, because the mean of its divisors is an integer number (3171913247272).

Almost surely, 2^{34628566582643} is an apocalyptic number.

34628566582643 is a deficient number, since it is larger than the sum of its proper divisors (3434392384621).

34628566582643 is a wasteful number, since it uses less digits than its factorization.

34628566582643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160746 (or 1160735 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 68.

The spelling of 34628566582643 in words is "thirty-four trillion, six hundred twenty-eight billion, five hundred sixty-six million, five hundred eighty-two thousand, six hundred forty-three".