4514605056 has 288 divisors, whose sum is σ = 14273794080. Its totient is φ = 1366327296.

The previous prime is 4514605037. The next prime is 4514605057. The reversal of 4514605056 is 6505064154.

4514605056 is a `hidden beast` number, since 4 + 5 + 146 + 0 + 505 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4514605056.

It is not an unprimeable number, because it can be changed into a prime (4514605057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19888015 + ... + 19888241.

It is an arithmetic number, because the mean of its divisors is an integer number (49561785).

Almost surely, 2^4514605056 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 4514605056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

4514605056 is an abundant number, since it is smaller than the sum of its proper divisors (9759189024).

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

4514605056 is a wasteful number, since it uses less digits than its factorization.

4514605056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4514605056 is about 67190.8108002873. The cubic root of 4514605056 is about 1652.7478005185.

The spelling of 4514605056 in words is "four billion, five hundred fourteen million, six hundred five thousand, fifty-six".