4556443705344 has 560 divisors, whose sum is σ = 13992360136128. Its totient is φ = 1476843798528.

The previous prime is 4556443705309. The next prime is 4556443705397. The reversal of 4556443705344 is 4435073446554.

4556443705344 is a `hidden beast` number, since 4 + 5 + 5 + 64 + 43 + 7 + 0 + 534 + 4 = 666.

It is a super-3 number, since 3×4556443705344³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6019079814 + ... + 6019080570.

Almost surely, 2^{4556443705344} 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 4556443705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6996180068064).

4556443705344 is an abundant number, since it is smaller than the sum of its proper divisors (9435916430784).

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

4556443705344 is an equidigital number, since it uses as much as digits as its factorization.

4556443705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 54.

The spelling of 4556443705344 in words is "four trillion, five hundred fifty-six billion, four hundred forty-three million, seven hundred five thousand, three hundred forty-four".