83791144089 has 63 divisors (see below), whose sum is σ = 128273047077. Its totient is φ = 54709263000.

The previous prime is 83791144069. The next prime is 83791144121. The reversal of 83791144089 is 98044119738.

The square root of 83791144089 is 289467.

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

83791144089 is a `hidden beast` number, since 8 + 37 + 91 + 1 + 440 + 89 = 666.

It is not a de Polignac number, because 83791144089 - 2⁵ = 83791144057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83791144069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 554908164 + ... + 554908314.

Almost surely, 2^83791144089 is an apocalyptic number.

83791144089 is the 289467-th square number.

83791144089 is the 144734-th centered octagonal number.

It is an amenable number.

83791144089 is a deficient number, since it is larger than the sum of its proper divisors (44481902988).

83791144089 is an frugal number, since it uses more digits than its factorization.

83791144089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 83791144089 in words is "eighty-three billion, seven hundred ninety-one million, one hundred forty-four thousand, eighty-nine".