4454994544 has 240 divisors, whose sum is σ = 11969233920. Its totient is φ = 1578769920.

The previous prime is 4454994491. The next prime is 4454994559.

4454994544 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 4454994491 and 4454994500.

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 47 ways as a sum of consecutive naturals, for example, 8856597 + ... + 8857099.

It is an arithmetic number, because the mean of its divisors is an integer number (49871808).

Almost surely, 2^4454994544 is an apocalyptic number.

4454994544 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 4454994544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984616960).

4454994544 is an abundant number, since it is smaller than the sum of its proper divisors (7514239376).

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

4454994544 is a wasteful number, since it uses less digits than its factorization.

4454994544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The square root of 4454994544 is about 66745.7455123546. The cubic root of 4454994544 is about 1645.4412940100.

The spelling of 4454994544 in words is "four billion, four hundred fifty-four million, nine hundred ninety-four thousand, five hundred forty-four".