89845696817809 has 9 divisors (see below), whose sum is σ = 92339948046801. Its totient is φ = 87417093508560.

The previous prime is 89845696817801. The next prime is 89845696817861. The reversal of 89845696817809 is 90871869654898.

The square root of 89845696817809 is 9478697.

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 71797406022225 + 18048290795584 = 8473335^2 + 4248328^2 .

It is not a de Polignac number, because 89845696817809 - 2³ = 89845696817801 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 89845696817809.

It is not an unprimeable number, because it can be changed into a prime (89845696817801) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 350583699 + ... + 350839879.

Almost surely, 2^{89845696817809} is an apocalyptic number.

89845696817809 is the 9478697-th square number.

89845696817809 is the 4739349-th centered octagonal number.

It is an amenable number.

89845696817809 is a deficient number, since it is larger than the sum of its proper divisors (2494251228992).

89845696817809 is an frugal number, since it uses more digits than its factorization.

89845696817809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512436 (or 256218 counting only the distinct ones).

The product of its (nonzero) digits is 15049359360, while the sum is 88.

The spelling of 89845696817809 in words is "eighty-nine trillion, eight hundred forty-five billion, six hundred ninety-six million, eight hundred seventeen thousand, eight hundred nine".