86974422447968 has 96 divisors (see below), whose sum is σ = 196645370906880. Its totient is φ = 37449940032000.

The previous prime is 86974422447961. The next prime is 86974422448013.

86974422447968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86974422447892 and 86974422447901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86974422447961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79586213 + ... + 80671643.

It is an arithmetic number, because the mean of its divisors is an integer number (2048389280280).

Almost surely, 2^{86974422447968} is an apocalyptic number.

86974422447968 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 86974422447968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98322685453440).

86974422447968 is an abundant number, since it is smaller than the sum of its proper divisors (109670948458912).

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

86974422447968 is a wasteful number, since it uses less digits than its factorization.

86974422447968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097452 (or 1097444 counting only the distinct ones).

The product of its digits is 9364045824, while the sum is 80.

The spelling of 86974422447968 in words is "eighty-six trillion, nine hundred seventy-four billion, four hundred twenty-two million, four hundred forty-seven thousand, nine hundred sixty-eight".