4454208144 has 50 divisors (see below), whose sum is σ = 12891774390. Its totient is φ = 1484735616.

The previous prime is 4454208119. The next prime is 4454208149. The reversal of 4454208144 is 4418024544.

4454208144 is a `hidden beast` number, since 445 + 4 + 208 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4161798144 + 292410000 = 64512^2 + 17100^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4454208099 and 4454208108.

It is not an unprimeable number, because it can be changed into a prime (4454208149) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1717149 + ... + 1719740.

Almost surely, 2^4454208144 is an apocalyptic number.

It is an amenable number.

4454208144 is an abundant number, since it is smaller than the sum of its proper divisors (8437566246).

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

4454208144 is a wasteful number, since it uses less digits than its factorization.

4454208144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436909 (or 3436894 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 4454208144 is about 66739.8542401765. The cubic root of 4454208144 is about 1645.3444700097.

The spelling of 4454208144 in words is "four billion, four hundred fifty-four million, two hundred eight thousand, one hundred forty-four".