346334161433643 has 8 divisors (see below), whose sum is σ = 513087646568400. Its totient is φ = 230889440955744.

The previous prime is 346334161433621. The next prime is 346334161433657.

346334161433643 is a `hidden beast` number, since 3 + 4 + 6 + 3 + 3 + 4 + 161 + 433 + 6 + 43 = 666.

346334161433643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 346334161433643 - 2¹⁰ = 346334161432619 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 346334161433643.

It is not an unprimeable number, because it can be changed into a prime (346334161432643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6413595582078 + ... + 6413595582131.

It is an arithmetic number, because the mean of its divisors is an integer number (64135955821050).

Almost surely, 2^{346334161433643} is an apocalyptic number.

346334161433643 is a deficient number, since it is larger than the sum of its proper divisors (166753485134757).

346334161433643 is a wasteful number, since it uses less digits than its factorization.

346334161433643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827191164218 (or 12827191164212 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 54.

The spelling of 346334161433643 in words is "three hundred forty-six trillion, three hundred thirty-four billion, one hundred sixty-one million, four hundred thirty-three thousand, six hundred forty-three".