84432482112 has 672 divisors, whose sum is σ = 274305515904. Its totient is φ = 22693478400.

The previous prime is 84432482087. The next prime is 84432482219. The reversal of 84432482112 is 21128423448.

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 95 ways as a sum of consecutive naturals, for example, 1156609308 + ... + 1156609380.

It is an arithmetic number, because the mean of its divisors is an integer number (408192732).

Almost surely, 2^84432482112 is an apocalyptic number.

84432482112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84432482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137152757952).

84432482112 is an abundant number, since it is smaller than the sum of its proper divisors (189873033792).

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

84432482112 is a wasteful number, since it uses less digits than its factorization.

84432482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its digits is 98304, while the sum is 39.

The spelling of 84432482112 in words is "eighty-four billion, four hundred thirty-two million, four hundred eighty-two thousand, one hundred twelve".