8444088900 has 216 divisors, whose sum is σ = 29743721280. Its totient is φ = 1988110080.

The previous prime is 8444088883. The next prime is 8444088937. The reversal of 8444088900 is 98804448.

It is a super-2 number, since 2×8444088900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 253411 + ... + 284789.

Almost surely, 2^8444088900 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 8444088900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871860640).

8444088900 is an abundant number, since it is smaller than the sum of its proper divisors (21299632380).

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

8444088900 is a wasteful number, since it uses less digits than its factorization.

8444088900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31435 (or 31425 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 8444088900 is about 91891.7237840275. The cubic root of 8444088900 is about 2036.3430012681.

The spelling of 8444088900 in words is "eight billion, four hundred forty-four million, eighty-eight thousand, nine hundred".