86448284468 has 144 divisors (see below), whose sum is σ = 200196576384. Its totient is φ = 31796582400.

The previous prime is 86448284459. The next prime is 86448284479.

86448284468 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 86448284468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8726318 + ... + 8736218.

Almost surely, 2^86448284468 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 86448284468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100098288192).

86448284468 is an abundant number, since it is smaller than the sum of its proper divisors (113748291916).

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

86448284468 is a wasteful number, since it uses less digits than its factorization.

86448284468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10023 counting only the distinct ones).

The product of its digits is 75497472, while the sum is 62.

The spelling of 86448284468 in words is "eighty-six billion, four hundred forty-eight million, two hundred eighty-four thousand, four hundred sixty-eight".