89388194248089 has 243 divisors, whose sum is σ = 159292556155551. Its totient is φ = 48249885530880.

The previous prime is 89388194248049. The next prime is 89388194248103. The reversal of 89388194248089 is 98084249188398.

The square root of 89388194248089 is 9454533.

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

89388194248089 is a `hidden beast` number, since 8 + 9 + 3 + 8 + 8 + 19 + 42 + 480 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69592884795225 + 19795309452864 = 8342235^2 + 4449192^2 .

It is a de Polignac number, because none of the positive numbers 2^k-89388194248089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 89388194247999 and 89388194248017.

It is not an unprimeable number, because it can be changed into a prime (89388194248039) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 100775866804 + ... + 100775867690.

Almost surely, 2^{89388194248089} is an apocalyptic number.

89388194248089 is the 9454533-rd square number.

89388194248089 is the 4727267-th centered octagonal number.

It is an amenable number.

89388194248089 is a deficient number, since it is larger than the sum of its proper divisors (69904361907462).

89388194248089 is a wasteful number, since it uses less digits than its factorization.

89388194248089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 81.

The spelling of 89388194248089 in words is "eighty-nine trillion, three hundred eighty-eight billion, one hundred ninety-four million, two hundred forty-eight thousand, eighty-nine".