5164038144 has 192 divisors, whose sum is σ = 15630451200. Its totient is φ = 1683873792.

The previous prime is 5164038127. The next prime is 5164038151. The reversal of 5164038144 is 4418304615.

5164038144 is a `hidden beast` number, since 5 + 1 + 640 + 3 + 8 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Together with 10466413055 it forms a betrothed pair.

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 = 5164038099 and 5164038108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597919 + ... + 2599905.

It is an arithmetic number, because the mean of its divisors is an integer number (81408600).

Almost surely, 2^5164038144 is an apocalyptic number.

5164038144 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 5164038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815225600).

5164038144 is an abundant number, since it is smaller than the sum of its proper divisors (10466413056).

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

5164038144 is a wasteful number, since it uses less digits than its factorization.

5164038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5164038144 is about 71861.2422937427. The cubic root of 5164038144 is about 1728.4751779621.

The spelling of 5164038144 in words is "five billion, one hundred sixty-four million, thirty-eight thousand, one hundred forty-four".