3313413144144 has 60 divisors (see below), whose sum is σ = 9430123591200. Its totient is φ = 1085751196992.

The previous prime is 3313413144113. The next prime is 3313413144157. The reversal of 3313413144144 is 4414413143133.

3313413144144 is a `hidden beast` number, since 3 + 31 + 341 + 3 + 144 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3313413144099 and 3313413144108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194989924 + ... + 195006915.

It is an arithmetic number, because the mean of its divisors is an integer number (157168726520).

Almost surely, 2^{3313413144144} is an apocalyptic number.

It is an amenable number.

3313413144144 is an abundant number, since it is smaller than the sum of its proper divisors (6116710447056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3313413144144 is a wasteful number, since it uses less digits than its factorization.

3313413144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389996912 (or 389996903 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

Adding to 3313413144144 its reverse (4414413143133), we get a palindrome (7727826287277).

The spelling of 3313413144144 in words is "three trillion, three hundred thirteen billion, four hundred thirteen million, one hundred forty-four thousand, one hundred forty-four".