9482587488000 has 2304 divisors, whose sum is σ = 42564517632000. Its totient is φ = 2049048576000.

The previous prime is 9482587487939. The next prime is 9482587488007. The reversal of 9482587488000 is 8847852849.

9482587488000 is a `hidden beast` number, since 9 + 4 + 8 + 2 + 587 + 48 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9482587488007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3069790456 + ... + 3069793544.

It is an arithmetic number, because the mean of its divisors is an integer number (18474183000).

Almost surely, 2^{9482587488000} is an apocalyptic number.

9482587488000 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 9482587488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282258816000).

9482587488000 is an abundant number, since it is smaller than the sum of its proper divisors (33081930144000).

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

9482587488000 is a wasteful number, since it uses less digits than its factorization.

9482587488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 9482587488000 in words is "nine trillion, four hundred eighty-two billion, five hundred eighty-seven million, four hundred eighty-eight thousand".