4459746816 has 320 divisors, whose sum is σ = 15980405760. Its totient is φ = 1198817280.

The previous prime is 4459746803. The next prime is 4459746821. The reversal of 4459746816 is 6186479544.

4459746816 is a `hidden beast` number, since 4 + 4 + 597 + 46 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1643701 + ... + 1646411.

It is an arithmetic number, because the mean of its divisors is an integer number (49938768).

Almost surely, 2^4459746816 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 4459746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990202880).

4459746816 is an abundant number, since it is smaller than the sum of its proper divisors (11520658944).

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

4459746816 is a wasteful number, since it uses less digits than its factorization.

4459746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2740 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4459746816 is about 66781.3358356959. The cubic root of 4459746816 is about 1646.0261660900.

The spelling of 4459746816 in words is "four billion, four hundred fifty-nine million, seven hundred forty-six thousand, eight hundred sixteen".