84314328384 has 224 divisors, whose sum is σ = 269168489856. Its totient is φ = 22946734080.

The previous prime is 84314328379. The next prime is 84314328433. The reversal of 84314328384 is 48382341348.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974374 + ... + 1057370.

It is an arithmetic number, because the mean of its divisors is an integer number (1201645044).

Almost surely, 2^84314328384 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 84314328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134584244928).

84314328384 is an abundant number, since it is smaller than the sum of its proper divisors (184854161472).

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

84314328384 is a wasteful number, since it uses less digits than its factorization.

84314328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83073 (or 83063 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 84314328384 in words is "eighty-four billion, three hundred fourteen million, three hundred twenty-eight thousand, three hundred eighty-four".