86467844736 has 896 divisors, whose sum is σ = 337133664000. Its totient is φ = 21427421184.

The previous prime is 86467844689. The next prime is 86467844737. The reversal of 86467844736 is 63744876468.

It is a happy number.

86467844736 is a `hidden beast` number, since 86 + 4 + 6 + 7 + 84 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (86467844737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 144353365 + ... + 144353963.

It is an arithmetic number, because the mean of its divisors is an integer number (376265250).

Almost surely, 2^86467844736 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 86467844736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168566832000).

86467844736 is an abundant number, since it is smaller than the sum of its proper divisors (250665819264).

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

86467844736 is a wasteful number, since it uses less digits than its factorization.

86467844736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 641 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 86467844736 in words is "eighty-six billion, four hundred sixty-seven million, eight hundred forty-four thousand, seven hundred thirty-six".