8874441000000 has 735 divisors, whose sum is σ = 32982502252161. Its totient is φ = 2359368000000.

The previous prime is 8874440999993. The next prime is 8874441000001. The reversal of 8874441000000 is 1444788.

It is a happy number.

The square root of 8874441000000 is 2979000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 7774862262336 + 1099578737664 = 2788344^2 + 1048608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (8874441000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 26810999835 + ... + 26811000165.

Almost surely, 2^{8874441000000} is an apocalyptic number.

8874441000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8874441000000 is the 2979000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8874441000000

8874441000000 is an abundant number, since it is smaller than the sum of its proper divisors (24108061252161).

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

8874441000000 is an frugal number, since it uses more digits than its factorization.

8874441000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 8874441000000 by its sum of digits (36), we get a square (319479876000000 = 17874000²).

8874441000000 divided by its sum of digits (36) gives a square (246512250000 = 496500²).

Adding to 8874441000000 its reverse (1444788), we get a palindrome (8874442444788).

The spelling of 8874441000000 in words is "eight trillion, eight hundred seventy-four billion, four hundred forty-one million", and thus it is an aban number.