8359444900 has 81 divisors (see below), whose sum is σ = 18676977123. Its totient is φ = 3247593600.

The previous prime is 8359444897. The next prime is 8359444937. The reversal of 8359444900 is 94449538.

The square root of 8359444900 is 91430.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3518625124 + 4840819776 = 59318^2 + 69576^2 .

It is a super-2 number, since 2×8359444900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37486189 + ... + 37486411.

Almost surely, 2^8359444900 is an apocalyptic number.

8359444900 is the 91430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8359444900

8359444900 is an abundant number, since it is smaller than the sum of its proper divisors (10317532223).

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

8359444900 is a wasteful number, since it uses less digits than its factorization.

8359444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The cubic root of 8359444900 is about 2029.5160016424.

The spelling of 8359444900 in words is "eight billion, three hundred fifty-nine million, four hundred forty-four thousand, nine hundred".