8904442600032 has 576 divisors, whose sum is σ = 28714710657024. Its totient is φ = 2405667962880.

The previous prime is 8904442600021. The next prime is 8904442600069. The reversal of 8904442600032 is 2300062444098.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1986266463 + ... + 1986270945.

It is an arithmetic number, because the mean of its divisors is an integer number (49851928224).

Almost surely, 2^{8904442600032} 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 8904442600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357355328512).

8904442600032 is an abundant number, since it is smaller than the sum of its proper divisors (19810268056992).

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

8904442600032 is a wasteful number, since it uses less digits than its factorization.

8904442600032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 8904442600032 in words is "eight trillion, nine hundred four billion, four hundred forty-two million, six hundred thousand, thirty-two".