86229248688 has 60 divisors (see below), whose sum is σ = 263260514088. Its totient is φ = 26130074880.

The previous prime is 86229248681. The next prime is 86229248711. The reversal of 86229248688 is 88684292268.

86229248688 is a `hidden beast` number, since 8 + 62 + 2 + 92 + 486 + 8 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86229248681) 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 11 ways as a sum of consecutive naturals, for example, 27217245 + ... + 27220412.

Almost surely, 2^86229248688 is an apocalyptic number.

86229248688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86229248688 is an abundant number, since it is smaller than the sum of its proper divisors (177031265400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86229248688 is a wasteful number, since it uses less digits than its factorization.

86229248688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54437682 (or 54437673 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 86229248688 in words is "eighty-six billion, two hundred twenty-nine million, two hundred forty-eight thousand, six hundred eighty-eight".