5114616518592 has 1344 divisors, whose sum is σ = 18514361548800. Its totient is φ = 1318769786880.

The previous prime is 5114616518581. The next prime is 5114616518663. The reversal of 5114616518592 is 2958156164115.

5114616518592 is a `hidden beast` number, since 5 + 1 + 1 + 4 + 616 + 5 + 18 + 5 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15176903448 + ... + 15176903784.

Almost surely, 2^{5114616518592} 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 5114616518592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257180774400).

5114616518592 is an abundant number, since it is smaller than the sum of its proper divisors (13399745030208).

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

5114616518592 is a wasteful number, since it uses less digits than its factorization.

5114616518592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 54.

The spelling of 5114616518592 in words is "five trillion, one hundred fourteen billion, six hundred sixteen million, five hundred eighteen thousand, five hundred ninety-two".