4454664544 has 48 divisors (see below), whose sum is σ = 9603982080. Its totient is φ = 2017106560.

The previous prime is 4454664521. The next prime is 4454664583.

4454664544 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4454664494 and 4454664503.

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 7 ways as a sum of consecutive naturals, for example, 68517 + ... + 116635.

It is an arithmetic number, because the mean of its divisors is an integer number (200082960).

Almost surely, 2^4454664544 is an apocalyptic number.

4454664544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454664544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801991040).

4454664544 is an abundant number, since it is smaller than the sum of its proper divisors (5149317536).

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

4454664544 is a wasteful number, since it uses less digits than its factorization.

4454664544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48403 (or 48395 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The square root of 4454664544 is about 66743.2733988977. The cubic root of 4454664544 is about 1645.4006647769.

The spelling of 4454664544 in words is "four billion, four hundred fifty-four million, six hundred sixty-four thousand, five hundred forty-four".