5646597544224 has 432 divisors, whose sum is σ = 20168776922112. Its totient is φ = 1485305773056.

The previous prime is 5646597544213. The next prime is 5646597544297. The reversal of 5646597544224 is 4224457956465.

5646597544224 is a `hidden beast` number, since 5 + 6 + 4 + 65 + 9 + 7 + 544 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70223467 + ... + 70303829.

It is an arithmetic number, because the mean of its divisors is an integer number (46686983616).

Almost surely, 2^{5646597544224} 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 5646597544224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10084388461056).

5646597544224 is an abundant number, since it is smaller than the sum of its proper divisors (14522179377888).

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

5646597544224 is a wasteful number, since it uses less digits than its factorization.

5646597544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80789 (or 80771 counting only the distinct ones).

The product of its digits is 290304000, while the sum is 63.

The spelling of 5646597544224 in words is "five trillion, six hundred forty-six billion, five hundred ninety-seven million, five hundred forty-four thousand, two hundred twenty-four".