5623080413184 has 288 divisors, whose sum is σ = 17644618522440. Its totient is φ = 1714859016192.

The previous prime is 5623080413183. The next prime is 5623080413189. The reversal of 5623080413184 is 4813140803265.

5623080413184 is a `hidden beast` number, since 5 + 623 + 0 + 8 + 0 + 4 + 1 + 3 + 18 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1728488678400 + 3894591734784 = 1314720^2 + 1973472^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5623080413184³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (5623080413183) 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 23 ways as a sum of consecutive naturals, for example, 26972772 + ... + 27180444.

Almost surely, 2^{5623080413184} 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 5623080413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822309261220).

5623080413184 is an abundant number, since it is smaller than the sum of its proper divisors (12021538109256).

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

5623080413184 is a wasteful number, since it uses less digits than its factorization.

5623080413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207827 (or 207804 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5623080413184 in words is "five trillion, six hundred twenty-three billion, eighty million, four hundred thirteen thousand, one hundred eighty-four".