3316444446133 has 48 divisors (see below), whose sum is σ = 4184062268400. Its totient is φ = 2605447240704.

The previous prime is 3316444446131. The next prime is 3316444446149.

It is a happy number.

3316444446133 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 183820560049 + 3132623886084 = 428743^2 + 1769922^2 .

It is not a de Polignac number, because 3316444446133 - 2¹ = 3316444446131 is a prime.

It is a super-2 number, since 2×3316444446133² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3316444446131) 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 47 ways as a sum of consecutive naturals, for example, 388474641 + ... + 388483177.

It is an arithmetic number, because the mean of its divisors is an integer number (87167963925).

Almost surely, 2^{3316444446133} is an apocalyptic number.

It is an amenable number.

3316444446133 is a deficient number, since it is larger than the sum of its proper divisors (867617822267).

3316444446133 is a wasteful number, since it uses less digits than its factorization.

3316444446133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12806 (or 12799 counting only the distinct ones).

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

The spelling of 3316444446133 in words is "three trillion, three hundred sixteen billion, four hundred forty-four million, four hundred forty-six thousand, one hundred thirty-three".