5017806144 has 196 divisors, whose sum is σ = 16079310996. Its totient is φ = 1543753728.

The previous prime is 5017806119. The next prime is 5017806161. The reversal of 5017806144 is 4416087105.

It is a happy number.

5017806144 is a `hidden beast` number, since 501 + 7 + 8 + 0 + 6 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2217279744 + 2800526400 = 47088^2 + 52920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5017806099 and 5017806108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 602392 + ... + 610664.

It is an arithmetic number, because the mean of its divisors is an integer number (82037301).

Almost surely, 2^5017806144 is an apocalyptic number.

5017806144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5017806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8039655498).

5017806144 is an abundant number, since it is smaller than the sum of its proper divisors (11061504852).

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

5017806144 is an equidigital number, since it uses as much as digits as its factorization.

5017806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5017806144 is about 70836.4746723042. The cubic root of 5017806144 is about 1712.0034136829.

The spelling of 5017806144 in words is "five billion, seventeen million, eight hundred six thousand, one hundred forty-four".