4048768656 has 60 divisors (see below), whose sum is σ = 11407035900. Its totient is φ = 1340524800.

The previous prime is 4048768631. The next prime is 4048768709. The reversal of 4048768656 is 6568678404.

4048768656 is a `hidden beast` number, since 40 + 487 + 68 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1934240400 + 2114528256 = 43980^2 + 45984^2 .

It is a super-3 number, since 3×4048768656³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72895 + ... + 115806.

It is an arithmetic number, because the mean of its divisors is an integer number (190117265).

Almost surely, 2^4048768656 is an apocalyptic number.

It is an amenable number.

4048768656 is an abundant number, since it is smaller than the sum of its proper divisors (7358267244).

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

4048768656 is a wasteful number, since it uses less digits than its factorization.

4048768656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188864 (or 188855 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4048768656 is about 63629.9352192032. The cubic root of 4048768656 is about 1593.8262944053.

The spelling of 4048768656 in words is "four billion, forty-eight million, seven hundred sixty-eight thousand, six hundred fifty-six".