89085905192089 has 27 divisors (see below), whose sum is σ = 100845517661343. Its totient is φ = 78655297426992.

The previous prime is 89085905192083. The next prime is 89085905192129. The reversal of 89085905192089 is 98029150958098.

The square root of 89085905192089 is 9438533.

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., 13178388342025 + 75907516850064 = 3630205^2 + 8712492^2 .

It is not a de Polignac number, because 89085905192089 - 2¹³ = 89085905183897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89085905192083) 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, 2822105584 + ... + 2822137150.

Almost surely, 2^{89085905192089} is an apocalyptic number.

89085905192089 is the 9438533-rd square number.

89085905192089 is the 4719267-th centered octagonal number.

It is an amenable number.

89085905192089 is a deficient number, since it is larger than the sum of its proper divisors (11759612469254).

89085905192089 is an frugal number, since it uses more digits than its factorization.

89085905192089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63206 (or 31603 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 73.

The spelling of 89085905192089 in words is "eighty-nine trillion, eighty-five billion, nine hundred five million, one hundred ninety-two thousand, eighty-nine".