89860254289 has 9 divisors (see below), whose sum is σ = 97308519003. Its totient is φ = 82944329832.

The previous prime is 89860254269. The next prime is 89860254293. The reversal of 89860254289 is 98245206898.

The square root of 89860254289 is 299767.

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., 13292937025 + 76567317264 = 115295^2 + 276708^2 .

It is not a de Polignac number, because 89860254289 - 2¹³ = 89860246097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89860254269) 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, 3885442 + ... + 3908500.

It is an arithmetic number, because the mean of its divisors is an integer number (10812057667).

Almost surely, 2^89860254289 is an apocalyptic number.

89860254289 is the 299767-th square number.

89860254289 is the 149884-th centered octagonal number.

It is an amenable number.

89860254289 is a deficient number, since it is larger than the sum of its proper divisors (7448264714).

89860254289 is an frugal number, since it uses more digits than its factorization.

89860254289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46144 (or 23072 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 61.

The spelling of 89860254289 in words is "eighty-nine billion, eight hundred sixty million, two hundred fifty-four thousand, two hundred eighty-nine".