8819048448000 has 1472 divisors, whose sum is σ = 37688333529600. Its totient is φ = 1993133260800.

The previous prime is 8819048447983. The next prime is 8819048448019. The reversal of 8819048448000 is 8448409188.

It is a happy number.

8819048448000 is a `hidden beast` number, since 8 + 8 + 190 + 4 + 8 + 448 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99090431956 + ... + 99090432044.

Almost surely, 2^{8819048448000} is an apocalyptic number.

8819048448000 is a gapful number since it is divisible by the number (80) 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 8819048448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844166764800).

8819048448000 is an abundant number, since it is smaller than the sum of its proper divisors (28869285081600).

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

8819048448000 is an frugal number, since it uses more digits than its factorization.

8819048448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 8819048448000 in words is "eight trillion, eight hundred nineteen billion, forty-eight million, four hundred forty-eight thousand".