8089241888448 has 840 divisors, whose sum is σ = 29589132437568. Its totient is φ = 2171260256256.

The previous prime is 8089241888447. The next prime is 8089241888471. The reversal of 8089241888448 is 8448881429808.

8089241888448 is a `hidden beast` number, since 8 + 0 + 8 + 92 + 4 + 18 + 88 + 448 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8089241888443) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2923468761 + ... + 2923471527.

Almost surely, 2^{8089241888448} 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 8089241888448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794566218784).

8089241888448 is an abundant number, since it is smaller than the sum of its proper divisors (21499890549120).

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

8089241888448 is a wasteful number, since it uses less digits than its factorization.

8089241888448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 301989888, while the sum is 72.

The spelling of 8089241888448 in words is "eight trillion, eighty-nine billion, two hundred forty-one million, eight hundred eighty-eight thousand, four hundred forty-eight".