4459745344500 has 1008 divisors, whose sum is σ = 15484455539280. Its totient is φ = 1121376960000.

The previous prime is 4459745344499. The next prime is 4459745344501. The reversal of 4459745344500 is 54435479544.

4459745344500 is a `hidden beast` number, since 4 + 4 + 5 + 97 + 4 + 5 + 3 + 44 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (4459745344499) and next prime (4459745344501).

It can be written as a sum of positive squares in 8 ways, for example, as 12218649444 + 4447526695056 = 110538^2 + 2108916^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4459745344501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 19474870386 + ... + 19474870614.

It is an arithmetic number, because the mean of its divisors is an integer number (15361563035).

Almost surely, 2^{4459745344500} 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 4459745344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7742227769640).

4459745344500 is an abundant number, since it is smaller than the sum of its proper divisors (11024710194780).

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

4459745344500 is a wasteful number, since it uses less digits than its factorization.

4459745344500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 4459745344500 in words is "four trillion, four hundred fifty-nine billion, seven hundred forty-five million, three hundred forty-four thousand, five hundred".