5084538174432 has 144 divisors (see below), whose sum is σ = 14798674498608. Its totient is φ = 1655066327040.

The previous prime is 5084538174407. The next prime is 5084538174481. The reversal of 5084538174432 is 2344718354805.

5084538174432 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 5 + 38 + 174 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59313682 + ... + 59399342.

It is an arithmetic number, because the mean of its divisors is an integer number (102768572907).

Almost surely, 2^{5084538174432} 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 5084538174432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399337249304).

5084538174432 is an abundant number, since it is smaller than the sum of its proper divisors (9714136324176).

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

5084538174432 is a wasteful number, since it uses less digits than its factorization.

5084538174432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90513 (or 90502 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 5084538174432 in words is "five trillion, eighty-four billion, five hundred thirty-eight million, one hundred seventy-four thousand, four hundred thirty-two".