346133343331643 has 16 divisors (see below), whose sum is σ = 400596133217280. Its totient is φ = 292924492338816.

The previous prime is 346133343331579. The next prime is 346133343331651.

346133343331643 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 346133343331643 - 2⁶ = 346133343331579 is a prime.

It is a super-3 number, since 3×346133343331643³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 346133343331591 and 346133343331600.

It is not an unprimeable number, because it can be changed into a prime (346133343331043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22384496 + ... + 34544642.

It is an arithmetic number, because the mean of its divisors is an integer number (25037258326080).

Almost surely, 2^{346133343331643} is an apocalyptic number.

346133343331643 is a deficient number, since it is larger than the sum of its proper divisors (54462789885637).

346133343331643 is a wasteful number, since it uses less digits than its factorization.

346133343331643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12211706.

The product of its digits is 15116544, while the sum is 50.

The spelling of 346133343331643 in words is "three hundred forty-six trillion, one hundred thirty-three billion, three hundred forty-three million, three hundred thirty-one thousand, six hundred forty-three".