86132244223168 has 448 divisors, whose sum is σ = 213856360704000. Its totient is φ = 33856648151040.

The previous prime is 86132244223127. The next prime is 86132244223189.

86132244223168 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6682610068 + ... + 6682622956.

It is an arithmetic number, because the mean of its divisors is an integer number (477357948000).

Almost surely, 2^{86132244223168} is an apocalyptic number.

86132244223168 is a gapful number since it is divisible by the number (88) 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 86132244223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928180352000).

86132244223168 is an abundant number, since it is smaller than the sum of its proper divisors (127724116480832).

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

86132244223168 is a wasteful number, since it uses less digits than its factorization.

86132244223168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13600 (or 13590 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 52.

The spelling of 86132244223168 in words is "eighty-six trillion, one hundred thirty-two billion, two hundred forty-four million, two hundred twenty-three thousand, one hundred sixty-eight".