8861441688 has 128 divisors (see below), whose sum is σ = 27578880000. Its totient is φ = 2612684160.

The previous prime is 8861441669. The next prime is 8861441731.

It is a happy number.

8861441688 is a `hidden beast` number, since 8 + 8 + 614 + 4 + 16 + 8 + 8 = 666.

8861441688 is nontrivially palindromic in base 10.

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

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37513 + ... + 138311.

It is an arithmetic number, because the mean of its divisors is an integer number (215460000).

Almost surely, 2^8861441688 is an apocalyptic number.

8861441688 is a gapful number since it is divisible by the number (88) 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 8861441688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440000).

8861441688 is an abundant number, since it is smaller than the sum of its proper divisors (18717438312).

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

8861441688 is a wasteful number, since it uses less digits than its factorization.

8861441688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100862 (or 100852 counting only the distinct ones).

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

The square root of 8861441688 is about 94135.2308543406. The cubic root of 8861441688 is about 2069.3540181321.

The spelling of 8861441688 in words is "eight billion, eight hundred sixty-one million, four hundred forty-one thousand, six hundred eighty-eight".