84882126816 has 216 divisors, whose sum is σ = 249739386624. Its totient is φ = 27330908160.

The previous prime is 84882126809. The next prime is 84882126817. The reversal of 84882126816 is 61862128848.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84882126817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 221624161 + ... + 221624543.

It is an arithmetic number, because the mean of its divisors is an integer number (1156200864).

Almost surely, 2^84882126816 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 84882126816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124869693312).

84882126816 is an abundant number, since it is smaller than the sum of its proper divisors (164857259808).

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

84882126816 is a wasteful number, since it uses less digits than its factorization.

84882126816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 566 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 54.

The spelling of 84882126816 in words is "eighty-four billion, eight hundred eighty-two million, one hundred twenty-six thousand, eight hundred sixteen".