89285812079689 has 27 divisors (see below), whose sum is σ = 90813419471079. Its totient is φ = 87783808788720.

The previous prime is 89285812079557. The next prime is 89285812079693. The reversal of 89285812079689 is 98697021858298.

The square root of 89285812079689 is 9449117.

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., 28619471980089 + 60666340099600 = 5349717^2 + 7788860^2 .

It is a de Polignac number, because none of the positive numbers 2^k-89285812079689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89285812179689) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193678550919 + ... + 193678551379.

Almost surely, 2^{89285812079689} is an apocalyptic number.

89285812079689 is the 9449117-th square number.

89285812079689 is the 4724559-th centered octagonal number.

It is an amenable number.

89285812079689 is a deficient number, since it is larger than the sum of its proper divisors (1527607391390).

89285812079689 is an frugal number, since it uses more digits than its factorization.

89285812079689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 82.

The spelling of 89285812079689 in words is "eighty-nine trillion, two hundred eighty-five billion, eight hundred twelve million, seventy-nine thousand, six hundred eighty-nine".