8847385600 has 66 divisors (see below), whose sum is σ = 21930866114. Its totient is φ = 3538944000.

The previous prime is 8847385583. The next prime is 8847385601. The reversal of 8847385600 is 65837488.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 8845026304 = 1536^2 + 94048^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8847385601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147201 + ... + 198400.

Almost surely, 2^8847385600 is an apocalyptic number.

8847385600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8847385600 is an abundant number, since it is smaller than the sum of its proper divisors (13083480514).

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

8847385600 is a wasteful number, since it uses less digits than its factorization.

8847385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345631 (or 345608 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The square root of 8847385600 is about 94060.5422055391. The cubic root of 8847385600 is about 2068.2592972756.

The spelling of 8847385600 in words is "eight billion, eight hundred forty-seven million, three hundred eighty-five thousand, six hundred".