86324686848 has 208 divisors, whose sum is σ = 256392716160. Its totient is φ = 28702162944.

The previous prime is 86324686793. The next prime is 86324686853. The reversal of 86324686848 is 84868642368.

It is a happy number.

86324686848 is a `hidden beast` number, since 86 + 32 + 468 + 68 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60493111 + ... + 60494537.

Almost surely, 2^86324686848 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 86324686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128196358080).

86324686848 is an abundant number, since it is smaller than the sum of its proper divisors (170068029312).

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

86324686848 is a wasteful number, since it uses less digits than its factorization.

86324686848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1979 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 86324686848 in words is "eighty-six billion, three hundred twenty-four million, six hundred eighty-six thousand, eight hundred forty-eight".