8881428241888 has 72 divisors (see below), whose sum is σ = 18288347805000. Its totient is φ = 4245133401600.

The previous prime is 8881428241867. The next prime is 8881428241967.

It is a happy number.

8881428241888 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1084363 + ... + 4351861.

It is an arithmetic number, because the mean of its divisors is an integer number (254004830625).

Almost surely, 2^{8881428241888} 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 8881428241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144173902500).

8881428241888 is an abundant number, since it is smaller than the sum of its proper divisors (9406919563112).

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

8881428241888 is a wasteful number, since it uses less digits than its factorization.

8881428241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267668 (or 3267631 counting only the distinct ones).

The product of its digits is 134217728, while the sum is 70.

The spelling of 8881428241888 in words is "eight trillion, eight hundred eighty-one billion, four hundred twenty-eight million, two hundred forty-one thousand, eight hundred eighty-eight".