4048768845 has 192 divisors, whose sum is σ = 8281937664. Its totient is φ = 1811496960.

The previous prime is 4048768817. The next prime is 4048768849. The reversal of 4048768845 is 5488678404.

4048768845 is a `hidden beast` number, since 40 + 487 + 6 + 88 + 45 = 666.

It is not a de Polignac number, because 4048768845 - 2⁶ = 4048768781 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4048768791 and 4048768800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048768849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41739837 + ... + 41739933.

It is an arithmetic number, because the mean of its divisors is an integer number (43135092).

Almost surely, 2^4048768845 is an apocalyptic number.

4048768845 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4048768845 is an abundant number, since it is smaller than the sum of its proper divisors (4233168819).

4048768845 is a wasteful number, since it uses less digits than its factorization.

4048768845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The square root of 4048768845 is about 63629.9367043532. The cubic root of 4048768845 is about 1593.8263192057.

The spelling of 4048768845 in words is "four billion, forty-eight million, seven hundred sixty-eight thousand, eight hundred forty-five".