84868622686848 has 1024 divisors, whose sum is σ = 311145365422080. Its totient is φ = 19779927736320.

The previous prime is 84868622686847. The next prime is 84868622686853.

84868622686848 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (84).

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 (84868622686847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21148421290 + ... + 21148425302.

It is an arithmetic number, because the mean of its divisors is an integer number (303852895920).

Almost surely, 2^{84868622686848} is an apocalyptic number.

84868622686848 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 84868622686848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155572682711040).

84868622686848 is an abundant number, since it is smaller than the sum of its proper divisors (226276742735232).

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

84868622686848 is a wasteful number, since it uses less digits than its factorization.

84868622686848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585 (or 5573 counting only the distinct ones).

The product of its digits is 21743271936, while the sum is 84.

The spelling of 84868622686848 in words is "eighty-four trillion, eight hundred sixty-eight billion, six hundred twenty-two million, six hundred eighty-six thousand, eight hundred forty-eight".