84853840032 has 360 divisors, whose sum is σ = 273148342236. Its totient is φ = 25826770944.

The previous prime is 84853840009. The next prime is 84853840081. The reversal of 84853840032 is 23004835848.

84853840032 is a `hidden beast` number, since 8 + 48 + 538 + 40 + 0 + 32 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 263607696 + 84590232336 = 16236^2 + 290844^2 .

It is a super-2 number, since 2×84853840032² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84853840032.

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 59 ways as a sum of consecutive naturals, for example, 42489658 + ... + 42491654.

Almost surely, 2^84853840032 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 84853840032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136574171118).

84853840032 is an abundant number, since it is smaller than the sum of its proper divisors (188294502204).

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

84853840032 is a wasteful number, since it uses less digits than its factorization.

84853840032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 84853840032 in words is "eighty-four billion, eight hundred fifty-three million, eight hundred forty thousand, thirty-two".