86044655644068 has 192 divisors, whose sum is σ = 236304981884160. Its totient is φ = 24075002265600.

The previous prime is 86044655644021. The next prime is 86044655644069.

It is a happy number.

86044655644068 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (86044655644069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1491497368 + ... + 1491555056.

It is an arithmetic number, because the mean of its divisors is an integer number (1230755113980).

Almost surely, 2^{86044655644068} 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 86044655644068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118152490942080).

86044655644068 is an abundant number, since it is smaller than the sum of its proper divisors (150260326240092).

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

86044655644068 is a wasteful number, since it uses less digits than its factorization.

86044655644068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70318 (or 70316 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 66.

The spelling of 86044655644068 in words is "eighty-six trillion, forty-four billion, six hundred fifty-five million, six hundred forty-four thousand, sixty-eight".