89145302339041 has 27 divisors (see below), whose sum is σ = 97133940957081. Its totient is φ = 81776421221664.

The previous prime is 89145302339033. The next prime is 89145302339077. The reversal of 89145302339041 is 14093320354198.

The square root of 89145302339041 is 9441679.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65183259168225 + 23962043170816 = 8073615^2 + 4895104^2 .

It is not a de Polignac number, because 89145302339041 - 2³ = 89145302339033 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 89145302339041.

It is not an unprimeable number, because it can be changed into a prime (89145302339441) 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 26 ways as a sum of consecutive naturals, for example, 20497882935 + ... + 20497887283.

Almost surely, 2^{89145302339041} is an apocalyptic number.

89145302339041 is the 9441679-th square number.

89145302339041 is the 4720840-th centered octagonal number.

It is an amenable number.

89145302339041 is a deficient number, since it is larger than the sum of its proper divisors (7988638618040).

89145302339041 is an frugal number, since it uses more digits than its factorization.

89145302339041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 52.

The spelling of 89145302339041 in words is "eighty-nine trillion, one hundred forty-five billion, three hundred two million, three hundred thirty-nine thousand, forty-one".