89381267089 has 9 divisors (see below), whose sum is σ = 91337817531. Its totient is φ = 87465785520.

The previous prime is 89381267069. The next prime is 89381267113. The reversal of 89381267089 is 98076218398.

The square root of 89381267089 is 298967.

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., 22072153489 + 67309113600 = 148567^2 + 259440^2 .

It is not a de Polignac number, because 89381267089 - 2⁹ = 89381266577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89381267029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14048269 + ... + 14054629.

Almost surely, 2^89381267089 is an apocalyptic number.

89381267089 is the 298967-th square number.

89381267089 is the 149484-th centered octagonal number.

It is an amenable number.

89381267089 is a deficient number, since it is larger than the sum of its proper divisors (1956550442).

89381267089 is an frugal number, since it uses more digits than its factorization.

89381267089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12816 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 89381267089 in words is "eighty-nine billion, three hundred eighty-one million, two hundred sixty-seven thousand, eighty-nine".