5631164308224 has 648 divisors, whose sum is σ = 20889569828400. Its totient is φ = 1444989321216.

The previous prime is 5631164308223. The next prime is 5631164308241. The reversal of 5631164308224 is 4228034611365.

5631164308224 is a `hidden beast` number, since 5 + 6 + 3 + 116 + 4 + 308 + 224 = 666.

It is a super-2 number, since 2×5631164308224² (a number of 26 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 5631164308224.

It is not an unprimeable number, because it can be changed into a prime (5631164308223) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 54251127 + ... + 54354825.

Almost surely, 2^{5631164308224} 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 5631164308224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10444784914200).

5631164308224 is an abundant number, since it is smaller than the sum of its proper divisors (15258405520176).

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

5631164308224 is a wasteful number, since it uses less digits than its factorization.

5631164308224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103785 (or 103761 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 5631164308224 its reverse (4228034611365), we get a palindrome (9859198919589).

The spelling of 5631164308224 in words is "five trillion, six hundred thirty-one billion, one hundred sixty-four million, three hundred eight thousand, two hundred twenty-four".