89882438416 has 45 divisors (see below), whose sum is σ = 175436925429. Its totient is φ = 44610835200.

The previous prime is 89882438413. The next prime is 89882438447. The reversal of 89882438416 is 61483428898.

The square root of 89882438416 is 299804.

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

It can be written as a sum of positive squares in only one way, i.e., 67597920016 + 22284518400 = 259996^2 + 149280^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89882438413) by changing a digit.

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, 289010901 + ... + 289011211.

Almost surely, 2^89882438416 is an apocalyptic number.

89882438416 is the 299804-th square number.

It is an amenable number.

89882438416 is a deficient number, since it is larger than the sum of its proper divisors (85554487013).

89882438416 is an frugal number, since it uses more digits than its factorization.

89882438416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 554 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 61.

The spelling of 89882438416 in words is "eighty-nine billion, eight hundred eighty-two million, four hundred thirty-eight thousand, four hundred sixteen".