4472889168384 has 960 divisors, whose sum is σ = 17562713414400. Its totient is φ = 1110233972736.

The previous prime is 4472889168383. The next prime is 4472889168427. The reversal of 4472889168384 is 4838619882744.

4472889168384 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 8 + 89 + 168 + 384 = 666.

It is a super-2 number, since 2×4472889168384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4472889168383) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149685157 + ... + 149715035.

It is an arithmetic number, because the mean of its divisors is an integer number (18294493140).

Almost surely, 2^{4472889168384} 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 4472889168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781356707200).

4472889168384 is an abundant number, since it is smaller than the sum of its proper divisors (13089824246016).

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

4472889168384 is a wasteful number, since it uses less digits than its factorization.

4472889168384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29950 (or 29921 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 4472889168384 in words is "four trillion, four hundred seventy-two billion, eight hundred eighty-nine million, one hundred sixty-eight thousand, three hundred eighty-four".