4558742496 has 288 divisors, whose sum is σ = 16239315456. Its totient is φ = 1178496000.

The previous prime is 4558742483. The next prime is 4558742497. The reversal of 4558742496 is 6942478554.

4558742496 is a `hidden beast` number, since 4 + 55 + 87 + 424 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4558742497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6896406 + ... + 6897066.

It is an arithmetic number, because the mean of its divisors is an integer number (56386512).

Almost surely, 2^4558742496 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 4558742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8119657728).

4558742496 is an abundant number, since it is smaller than the sum of its proper divisors (11680572960).

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

4558742496 is a wasteful number, since it uses less digits than its factorization.

4558742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 4558742496 is about 67518.4604089874. The cubic root of 4558742496 is about 1658.1164216266.

The spelling of 4558742496 in words is "four billion, five hundred fifty-eight million, seven hundred forty-two thousand, four hundred ninety-six".