84853332432 has 480 divisors, whose sum is σ = 290965841280. Its totient is φ = 23398502400.

The previous prime is 84853332407. The next prime is 84853332541. The reversal of 84853332432 is 23423335848.

84853332432 is a `hidden beast` number, since 8 + 48 + 533 + 32 + 43 + 2 = 666.

It is a super-3 number, since 3×84853332432³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 77632878 + ... + 77633970.

It is an arithmetic number, because the mean of its divisors is an integer number (606178836).

Almost surely, 2^84853332432 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 84853332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145482920640).

84853332432 is an abundant number, since it is smaller than the sum of its proper divisors (206112508848).

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

84853332432 is a wasteful number, since it uses less digits than its factorization.

84853332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1157 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 84853332432 in words is "eighty-four billion, eight hundred fifty-three million, three hundred thirty-two thousand, four hundred thirty-two".