989107371648000 has 2112 divisors, whose sum is σ = 4047146529454080. Its totient is φ = 232037498880000.

The previous prime is 989107371647999. The next prime is 989107371648101. The reversal of 989107371648000 is 846173701989.

989107371648000 is a `hidden beast` number, since 9 + 8 + 9 + 10 + 73 + 71 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47532661596 + ... + 47532682404.

Almost surely, 2^{989107371648000} is an apocalyptic number.

989107371648000 is a gapful number since it is divisible by the number (90) 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 989107371648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023573264727040).

989107371648000 is an abundant number, since it is smaller than the sum of its proper divisors (3058039157806080).

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

989107371648000 is a wasteful number, since it uses less digits than its factorization.

989107371648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20914 (or 20861 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 989107371648000 in words is "nine hundred eighty-nine trillion, one hundred seven billion, three hundred seventy-one million, six hundred forty-eight thousand".