4985616384 has 288 divisors, whose sum is σ = 17432120160. Its totient is φ = 1340080128.

The previous prime is 4985616371. The next prime is 4985616409. The reversal of 4985616384 is 4836165894.

4985616384 is a `hidden beast` number, since 49 + 8 + 561 + 6 + 38 + 4 = 666.

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

It is a super-3 number, since 3×4985616384³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4985616384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2192272 + ... + 2194544.

It is an arithmetic number, because the mean of its divisors is an integer number (60528195).

Almost surely, 2^4985616384 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 4985616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716060080).

4985616384 is an abundant number, since it is smaller than the sum of its proper divisors (12446503776).

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

4985616384 is a wasteful number, since it uses less digits than its factorization.

4985616384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2302 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 4985616384 is about 70608.8973430403. The cubic root of 4985616384 is about 1708.3346626701.

The spelling of 4985616384 in words is "four billion, nine hundred eighty-five million, six hundred sixteen thousand, three hundred eighty-four".