5613388576224 has 192 divisors, whose sum is σ = 17318313008640. Its totient is φ = 1569535211520.

The previous prime is 5613388576199. The next prime is 5613388576241. The reversal of 5613388576224 is 4226758833165.

It is a super-3 number, since 3×5613388576224³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33921717 + ... + 34086795.

It is an arithmetic number, because the mean of its divisors is an integer number (90199546920).

Almost surely, 2^{5613388576224} 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 5613388576224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659156504320).

5613388576224 is an abundant number, since it is smaller than the sum of its proper divisors (11704924432416).

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

5613388576224 is a wasteful number, since it uses less digits than its factorization.

5613388576224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167593 (or 167585 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 60.

The spelling of 5613388576224 in words is "five trillion, six hundred thirteen billion, three hundred eighty-eight million, five hundred seventy-six thousand, two hundred twenty-four".