86488922988468 has 1728 divisors, whose sum is σ = 325389801784320. Its totient is φ = 18768347136000.

The previous prime is 86488922988371. The next prime is 86488922988473.

86488922988468 is a `hidden beast` number, since 8 + 6 + 48 + 8 + 9 + 2 + 29 + 88 + 468 = 666.

86488922988468 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19616446648 + ... + 19616451056.

It is an arithmetic number, because the mean of its divisors is an integer number (188304283440).

Almost surely, 2^{86488922988468} 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 86488922988468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162694900892160).

86488922988468 is an abundant number, since it is smaller than the sum of its proper divisors (238900878795852).

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

86488922988468 is a wasteful number, since it uses less digits than its factorization.

86488922988468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4590 (or 4574 counting only the distinct ones).

The product of its digits is 48922361856, while the sum is 90.

The spelling of 86488922988468 in words is "eighty-six trillion, four hundred eighty-eight billion, nine hundred twenty-two million, nine hundred eighty-eight thousand, four hundred sixty-eight".