4985342208 has 1152 divisors, whose sum is σ = 21192192000. Its totient is φ = 1114767360.

The previous prime is 4985342143. The next prime is 4985342251. The reversal of 4985342208 is 8022435894.

4985342208 is a `hidden beast` number, since 4 + 98 + 534 + 2 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171908338 + ... + 171908366.

It is an arithmetic number, because the mean of its divisors is an integer number (18396000).

Almost surely, 2^4985342208 is an apocalyptic number.

4985342208 is a gapful number since it is divisible by the number (48) 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 4985342208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096000).

4985342208 is an abundant number, since it is smaller than the sum of its proper divisors (16206849792).

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

4985342208 is a wasteful number, since it uses less digits than its factorization.

4985342208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4985342208 is about 70606.9558046514. The cubic root of 4985342208 is about 1708.3033463851.

The spelling of 4985342208 in words is "four billion, nine hundred eighty-five million, three hundred forty-two thousand, two hundred eight".