8894648448 has 512 divisors, whose sum is σ = 32496384000. Its totient is φ = 2338025472.

The previous prime is 8894648447. The next prime is 8894648459. The reversal of 8894648448 is 8448464988.

It is a super-2 number, since 2×8894648448² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (8894648447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17006715 + ... + 17007237.

It is an arithmetic number, because the mean of its divisors is an integer number (63469500).

Almost surely, 2^8894648448 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 8894648448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248192000).

8894648448 is an abundant number, since it is smaller than the sum of its proper divisors (23601735552).

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

8894648448 is a wasteful number, since it uses less digits than its factorization.

8894648448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 591 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The square root of 8894648448 is about 94311.4438867309. The cubic root of 8894648448 is about 2071.9356479370.

The spelling of 8894648448 in words is "eight billion, eight hundred ninety-four million, six hundred forty-eight thousand, four hundred forty-eight".