5616608514048 has 1560 divisors, whose sum is σ = 20615653992960. Its totient is φ = 1468767928320.

The previous prime is 5616608514047. The next prime is 5616608514131. The reversal of 5616608514048 is 8404158066165.

It is a happy number.

5616608514048 is a `hidden beast` number, since 5 + 6 + 16 + 608 + 5 + 14 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×5616608514048² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5616608513985 and 5616608514003.

It is not an unprimeable number, because it can be changed into a prime (5616608514047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63107960788 + ... + 63107960876.

It is an arithmetic number, because the mean of its divisors is an integer number (13215162816).

Almost surely, 2^{5616608514048} 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 5616608514048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10307826996480).

5616608514048 is an abundant number, since it is smaller than the sum of its proper divisors (14999045478912).

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

5616608514048 is an equidigital number, since it uses as much as digits as its factorization.

5616608514048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5616608514048 in words is "five trillion, six hundred sixteen billion, six hundred eight million, five hundred fourteen thousand, forty-eight".