89481515924089 has 9 divisors (see below), whose sum is σ = 90003385945263. Its totient is φ = 88962654699672.

The previous prime is 89481515924083. The next prime is 89481515924113. The reversal of 89481515924089 is 98042951518498.

The square root of 89481515924089 is 9459467.

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., 81397115541225 + 8084400382864 = 9022035^2 + 2843308^2 .

It is not a de Polignac number, because 89481515924089 - 2⁵ = 89481515924057 is a prime.

It is a super-4 number, since 4×89481515924089⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89481515924083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1636460452 + ... + 1636515130.

Almost surely, 2^{89481515924089} is an apocalyptic number.

89481515924089 is the 9459467-th square number.

89481515924089 is the 4729734-th centered octagonal number.

It is an amenable number.

89481515924089 is a deficient number, since it is larger than the sum of its proper divisors (521870021174).

89481515924089 is an frugal number, since it uses more digits than its factorization.

89481515924089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109704 (or 54852 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 73.

The spelling of 89481515924089 in words is "eighty-nine trillion, four hundred eighty-one billion, five hundred fifteen million, nine hundred twenty-four thousand, eighty-nine".