89240210361 has 9 divisors (see below), whose sum is σ = 128903820591. Its totient is φ = 59492876112.

The previous prime is 89240210351. The next prime is 89240210369. The reversal of 89240210361 is 16301204298.

The square root of 89240210361 is 298731.

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

89240210361 is a `hidden beast` number, since 8 + 92 + 402 + 103 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75160964025 + 14079246336 = 274155^2 + 118656^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 89240210361 - 2⁷ = 89240210233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (89240210369) 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, 846405 + ... + 945981.

Almost surely, 2^89240210361 is an apocalyptic number.

89240210361 is the 298731-st square number.

89240210361 is the 149366-th centered octagonal number.

It is an amenable number.

89240210361 is a deficient number, since it is larger than the sum of its proper divisors (39663610230).

89240210361 is an frugal number, since it uses more digits than its factorization.

89240210361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199160 (or 99580 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 89240210361 by its sum of digits (36), we get a square (3212647572996 = 1792386²).

The spelling of 89240210361 in words is "eighty-nine billion, two hundred forty million, two hundred ten thousand, three hundred sixty-one".