1008848448 has 168 divisors, whose sum is σ = 3039319296. Its totient is φ = 319334400.

The previous prime is 1008848447. The next prime is 1008848473. The reversal of 1008848448 is 8448488001.

It is not an unprimeable number, because it can be changed into a prime (1008848447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3590068 + ... + 3590348.

Almost surely, 2^1008848448 is an apocalyptic number.

1008848448 is a gapful number since it is divisible by the number (18) 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 1008848448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519659648).

1008848448 is an abundant number, since it is smaller than the sum of its proper divisors (2030470848).

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

1008848448 is a wasteful number, since it uses less digits than its factorization.

1008848448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 1008848448 is about 31762.3747223031. The cubic root of 1008848448 is about 1002.9408257328.

The spelling of 1008848448 in words is "one billion, eight million, eight hundred forty-eight thousand, four hundred forty-eight".