4608575136 has 384 divisors, whose sum is σ = 15850598400. Its totient is φ = 1287982080.

The previous prime is 4608575123. The next prime is 4608575141. The reversal of 4608575136 is 6315758064.

4608575136 is a `hidden beast` number, since 4 + 60 + 8 + 575 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4608575091 and 4608575100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6338805 + ... + 6339531.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 2^4608575136 is an apocalyptic number.

4608575136 is a gapful number since it is divisible by the number (46) 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 4608575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925299200).

4608575136 is an abundant number, since it is smaller than the sum of its proper divisors (11242023264).

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

4608575136 is a wasteful number, since it uses less digits than its factorization.

4608575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4608575136 is about 67886.4871384578. The cubic root of 4608575136 is about 1664.1362876846.

The spelling of 4608575136 in words is "four billion, six hundred eight million, five hundred seventy-five thousand, one hundred thirty-six".