3346144416433 has 32 divisors (see below), whose sum is σ = 4138207024896. Its totient is φ = 2634749365248.

The previous prime is 3346144416413. The next prime is 3346144416479.

It is a happy number.

3346144416433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3346144416433 - 2²¹ = 3346142319281 is a prime.

It is a super-2 number, since 2×3346144416433² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3346144416413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17478810 + ... + 17669212.

It is an arithmetic number, because the mean of its divisors is an integer number (129318969528).

Almost surely, 2^{3346144416433} is an apocalyptic number.

It is an amenable number.

3346144416433 is a deficient number, since it is larger than the sum of its proper divisors (792062608463).

3346144416433 is a wasteful number, since it uses less digits than its factorization.

3346144416433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191353.

The product of its digits is 2985984, while the sum is 46.

The spelling of 3346144416433 in words is "three trillion, three hundred forty-six billion, one hundred forty-four million, four hundred sixteen thousand, four hundred thirty-three".