5138122514816 has 64 divisors (see below), whose sum is σ = 10375867584000. Its totient is φ = 2534047166976.

The previous prime is 5138122514797. The next prime is 5138122514891. The reversal of 5138122514816 is 6184152218315.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5138122514816² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10054805 + ... + 10553451.

It is an arithmetic number, because the mean of its divisors is an integer number (162122931000).

Almost surely, 2^{5138122514816} 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 5138122514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187933792000).

5138122514816 is an abundant number, since it is smaller than the sum of its proper divisors (5237745069184).

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

5138122514816 is a wasteful number, since it uses less digits than its factorization.

5138122514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499759 (or 499747 counting only the distinct ones).

The product of its digits is 460800, while the sum is 47.

The spelling of 5138122514816 in words is "five trillion, one hundred thirty-eight billion, one hundred twenty-two million, five hundred fourteen thousand, eight hundred sixteen".