4048706144 has 192 divisors, whose sum is σ = 9786470400. Its totient is φ = 1646023680.

The previous prime is 4048706141. The next prime is 4048706149. The reversal of 4048706144 is 4416078404.

It is a junction number, because it is equal to n+sod(n) for n = 4048706098 and 4048706107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048706141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24838607 + ... + 24838769.

It is an arithmetic number, because the mean of its divisors is an integer number (50971200).

Almost surely, 2^4048706144 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 4048706144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893235200).

4048706144 is an abundant number, since it is smaller than the sum of its proper divisors (5737764256).

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

4048706144 is a wasteful number, since it uses less digits than its factorization.

4048706144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The square root of 4048706144 is about 63629.4440019713. Note that the first 3 decimals coincide. The cubic root of 4048706144 is about 1593.8180916001.

The spelling of 4048706144 in words is "four billion, forty-eight million, seven hundred six thousand, one hundred forty-four".