3446128216443 has 48 divisors (see below), whose sum is σ = 5134574285568. Its totient is φ = 2053953316800.

The previous prime is 3446128216441. The next prime is 3446128216477.

3446128216443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3446128216443 - 2¹ = 3446128216441 is a prime.

It is a super-2 number, since 2×3446128216443² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3446128216392 and 3446128216401.

It is not an unprimeable number, because it can be changed into a prime (3446128216441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10063480 + ... + 10400282.

It is an arithmetic number, because the mean of its divisors is an integer number (106970297616).

Almost surely, 2^{3446128216443} is an apocalyptic number.

3446128216443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3446128216443 is a deficient number, since it is larger than the sum of its proper divisors (1688446069125).

3446128216443 is a wasteful number, since it uses less digits than its factorization.

3446128216443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337296 (or 337285 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

It can be divided in two parts, 3446128 and 216443, that added together give a triangular number (3662571 = T₂₇₀₆).

The spelling of 3446128216443 in words is "three trillion, four hundred forty-six billion, one hundred twenty-eight million, two hundred sixteen thousand, four hundred forty-three".