84442172032 has 64 divisors (see below), whose sum is σ = 177349032000. Its totient is φ = 39968907264.

The previous prime is 84442172029. The next prime is 84442172033. The reversal of 84442172032 is 23027124448.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 84442171982 and 84442172000.

It is not an unprimeable number, because it can be changed into a prime (84442172033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137719 + ... + 433417.

It is an arithmetic number, because the mean of its divisors is an integer number (2771078625).

Almost surely, 2^84442172032 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 84442172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88674516000).

84442172032 is an abundant number, since it is smaller than the sum of its proper divisors (92906859968).

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

84442172032 is a wasteful number, since it uses less digits than its factorization.

84442172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295833 (or 295821 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The spelling of 84442172032 in words is "eighty-four billion, four hundred forty-two million, one hundred seventy-two thousand, thirty-two".