89998304148480 has 704 divisors, whose sum is σ = 372928305576960. Its totient is φ = 17989245075456.

The previous prime is 89998304148449. The next prime is 89998304148503. The reversal of 89998304148480 is 8484140389998.

89998304148480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24863032 + ... + 28251848.

Almost surely, 2^{89998304148480} is an apocalyptic number.

89998304148480 is a gapful number since it is divisible by the number (80) 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 89998304148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186464152788480).

89998304148480 is an abundant number, since it is smaller than the sum of its proper divisors (282930001428480).

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

89998304148480 is a wasteful number, since it uses less digits than its factorization.

89998304148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388884 (or 3388866 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 75.

The spelling of 89998304148480 in words is "eighty-nine trillion, nine hundred ninety-eight billion, three hundred four million, one hundred forty-eight thousand, four hundred eighty".