8812823449600 has 117 divisors (see below), whose sum is σ = 21855490089447. Its totient is φ = 3524749393920.

The previous prime is 8812823449561. The next prime is 8812823449621. The reversal of 8812823449600 is 69443282188.

The square root of 8812823449600 is 2968640.

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 361383727104 + 8451439722496 = 601152^2 + 2907136^2 .

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 8 ways as a sum of consecutive naturals, for example, 949960162 + ... + 949969438.

Almost surely, 2^{8812823449600} is an apocalyptic number.

8812823449600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8812823449600 is the 2968640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8812823449600

8812823449600 is an abundant number, since it is smaller than the sum of its proper divisors (13042666639847).

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

8812823449600 is an frugal number, since it uses more digits than its factorization.

8812823449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18588 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 55.

The spelling of 8812823449600 in words is "eight trillion, eight hundred twelve billion, eight hundred twenty-three million, four hundred forty-nine thousand, six hundred".