4538198016 has 288 divisors, whose sum is σ = 14846176800. Its totient is φ = 1373552640.

The previous prime is 4538197997. The next prime is 4538198047. The reversal of 4538198016 is 6108918354.

4538198016 is a `hidden beast` number, since 453 + 8 + 198 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5473890 + ... + 5474718.

It is an arithmetic number, because the mean of its divisors is an integer number (51549225).

Almost surely, 2^4538198016 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 4538198016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423088400).

4538198016 is an abundant number, since it is smaller than the sum of its proper divisors (10307978784).

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

4538198016 is an equidigital number, since it uses as much as digits as its factorization.

4538198016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 4538198016 is about 67366.1488879986. The cubic root of 4538198016 is about 1655.6218418181.

The spelling of 4538198016 in words is "four billion, five hundred thirty-eight million, one hundred ninety-eight thousand, sixteen".