346628826643 has 64 divisors (see below), whose sum is σ = 420340838400. Its totient is φ = 282150604800.

The previous prime is 346628826637. The next prime is 346628826647.

346628826643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346628826643 - 2²⁹ = 346091955731 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346628826647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147688996 + ... + 147691342.

It is an arithmetic number, because the mean of its divisors is an integer number (6567825600).

Almost surely, 2^346628826643 is an apocalyptic number.

346628826643 is a deficient number, since it is larger than the sum of its proper divisors (73712011757).

346628826643 is a wasteful number, since it uses less digits than its factorization.

346628826643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828.

The product of its digits is 47775744, while the sum is 58.

The spelling of 346628826643 in words is "three hundred forty-six billion, six hundred twenty-eight million, eight hundred twenty-six thousand, six hundred forty-three".