86614814268 has 96 divisors (see below), whose sum is σ = 228396840000. Its totient is φ = 28378563840.

The previous prime is 86614814267. The next prime is 86614814311. The reversal of 86614814268 is 86241841668.

It is a happy number.

86614814268 is a `hidden beast` number, since 8 + 6 + 61 + 481 + 42 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86614814267) 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 31 ways as a sum of consecutive naturals, for example, 11782258 + ... + 11789606.

It is an arithmetic number, because the mean of its divisors is an integer number (2379133750).

Almost surely, 2^86614814268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86614814268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114198420000).

86614814268 is an abundant number, since it is smaller than the sum of its proper divisors (141782025732).

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

86614814268 is a wasteful number, since it uses less digits than its factorization.

86614814268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9212 (or 9204 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 86614814268 in words is "eighty-six billion, six hundred fourteen million, eight hundred fourteen thousand, two hundred sixty-eight".