5516838970344 has 384 divisors, whose sum is σ = 18334129939200. Its totient is φ = 1528170209280.

The previous prime is 5516838970343. The next prime is 5516838970351. The reversal of 5516838970344 is 4430798386155.

5516838970344 is a `hidden beast` number, since 5 + 516 + 8 + 3 + 8 + 9 + 70 + 3 + 44 = 666.

It is a super-2 number, since 2×5516838970344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5516838970343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14079804 + ... + 14466324.

It is an arithmetic number, because the mean of its divisors is an integer number (47745130050).

Almost surely, 2^{5516838970344} is an apocalyptic number.

5516838970344 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 5516838970344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167064969600).

5516838970344 is an abundant number, since it is smaller than the sum of its proper divisors (12817290968856).

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

5516838970344 is a wasteful number, since it uses less digits than its factorization.

5516838970344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386602 (or 386579 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 5516838970344 in words is "five trillion, five hundred sixteen billion, eight hundred thirty-eight million, nine hundred seventy thousand, three hundred forty-four".