86282378087148 has 144 divisors (see below), whose sum is σ = 224597649931200. Its totient is φ = 27911912048640.

The previous prime is 86282378087141. The next prime is 86282378087153. The reversal of 86282378087148 is 84178087328268.

86282378087148 is a `hidden beast` number, since 8 + 62 + 82 + 378 + 0 + 87 + 1 + 48 = 666.

86282378087148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (86282378087141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381493465 + ... + 381719567.

It is an arithmetic number, because the mean of its divisors is an integer number (1559705902300).

Almost surely, 2^{86282378087148} 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 86282378087148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112298824965600).

86282378087148 is an abundant number, since it is smaller than the sum of its proper divisors (138315271844052).

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

86282378087148 is a wasteful number, since it uses less digits than its factorization.

86282378087148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227512 (or 227507 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 72.

The spelling of 86282378087148 in words is "eighty-six trillion, two hundred eighty-two billion, three hundred seventy-eight million, eighty-seven thousand, one hundred forty-eight".