86448144384 has 648 divisors, whose sum is σ = 311614626960. Its totient is φ = 22592618496.

The previous prime is 86448144383. The next prime is 86448144397. The reversal of 86448144384 is 48344184468.

86448144384 is a `hidden beast` number, since 8 + 6 + 44 + 81 + 443 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86448144384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86448144383) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2980970482 + ... + 2980970510.

It is an arithmetic number, because the mean of its divisors is an integer number (480886770).

Almost surely, 2^86448144384 is an apocalyptic number.

86448144384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86448144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155807313480).

86448144384 is an abundant number, since it is smaller than the sum of its proper divisors (225166482576).

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

86448144384 is an equidigital number, since it uses as much as digits as its factorization.

86448144384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 60 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 54.

The spelling of 86448144384 in words is "eighty-six billion, four hundred forty-eight million, one hundred forty-four thousand, three hundred eighty-four".