86224778289 has 16 divisors (see below), whose sum is σ = 137566598400. Its totient is φ = 53061401808.

The previous prime is 86224778273. The next prime is 86224778317. The reversal of 86224778289 is 98287742268.

86224778289 is a `hidden beast` number, since 8 + 6 + 2 + 2 + 477 + 82 + 89 = 666.

It is not a de Polignac number, because 86224778289 - 2⁴ = 86224778273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (86224778789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122826969 + ... + 122827670.

It is an arithmetic number, because the mean of its divisors is an integer number (8597912400).

Almost surely, 2^86224778289 is an apocalyptic number.

It is an amenable number.

86224778289 is a deficient number, since it is larger than the sum of its proper divisors (51341820111).

86224778289 is a wasteful number, since it uses less digits than its factorization.

86224778289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245654661 (or 245654655 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 86224778289 in words is "eighty-six billion, two hundred twenty-four million, seven hundred seventy-eight thousand, two hundred eighty-nine".