89200184896 has 63 divisors (see below), whose sum is σ = 182100351699. Its totient is φ = 43351676928.

The previous prime is 89200184873. The next prime is 89200184929. The reversal of 89200184896 is 69848100298.

The square root of 89200184896 is 298664.

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 5757774400 + 83442410496 = 75880^2 + 288864^2 .

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 8 ways as a sum of consecutive naturals, for example, 88404040 + ... + 88405048.

It is an arithmetic number, because the mean of its divisors is an integer number (2890481773).

Almost surely, 2^89200184896 is an apocalyptic number.

89200184896 is the 298664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89200184896

89200184896 is an abundant number, since it is smaller than the sum of its proper divisors (92900166803).

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

89200184896 is an frugal number, since it uses more digits than its factorization.

89200184896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 89200184896 in words is "eighty-nine billion, two hundred million, one hundred eighty-four thousand, eight hundred ninety-six".