86648214472768 has 112 divisors (see below), whose sum is σ = 195142101073920. Its totient is φ = 37842454278144.

The previous prime is 86648214472751. The next prime is 86648214472777. The reversal of 86648214472768 is 86727441284668.

It is a self number, because there is not a number n which added to its sum of digits gives 86648214472768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10349505 + ... + 16745407.

It is an arithmetic number, because the mean of its divisors is an integer number (1742340188160).

Almost surely, 2^{86648214472768} 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 86648214472768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97571050536960).

86648214472768 is an abundant number, since it is smaller than the sum of its proper divisors (108493886601152).

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

86648214472768 is a wasteful number, since it uses less digits than its factorization.

86648214472768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396804 (or 6396794 counting only the distinct ones).

The product of its digits is 1387266048, while the sum is 73.

The spelling of 86648214472768 in words is "eighty-six trillion, six hundred forty-eight billion, two hundred fourteen million, four hundred seventy-two thousand, seven hundred sixty-eight".