33413134556416 has 72 divisors (see below), whose sum is σ = 68378092965000. Its totient is φ = 16285821665280.

The previous prime is 33413134556413. The next prime is 33413134556437. The reversal of 33413134556416 is 61465543131433.

It can be written as a sum of positive squares in 4 ways, for example, as 677526534400 + 32735608022016 = 823120^2 + 5721504^2 .

It is a super-2 number, since 2×33413134556416² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33413134556416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413134556413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11604460 + ... + 14194708.

It is an arithmetic number, because the mean of its divisors is an integer number (949695735625).

Almost surely, 2^{33413134556416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33413134556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34189046482500).

33413134556416 is an abundant number, since it is smaller than the sum of its proper divisors (34964958408584).

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

33413134556416 is a wasteful number, since it uses less digits than its factorization.

33413134556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591535 (or 2591521 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 49.

Adding to 33413134556416 its reverse (61465543131433), we get a palindrome (94878677687849).

The spelling of 33413134556416 in words is "thirty-three trillion, four hundred thirteen billion, one hundred thirty-four million, five hundred fifty-six thousand, four hundred sixteen".