84084172416 has 256 divisors, whose sum is σ = 256041052800. Its totient is φ = 27152547840.

The previous prime is 84084172397. The next prime is 84084172423. The reversal of 84084172416 is 61427148048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14121696 + ... + 14127648.

Almost surely, 2^84084172416 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 84084172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128020526400).

84084172416 is an abundant number, since it is smaller than the sum of its proper divisors (171956880384).

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

84084172416 is a wasteful number, since it uses less digits than its factorization.

84084172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 84084172416 in words is "eighty-four billion, eighty-four million, one hundred seventy-two thousand, four hundred sixteen".