9493461429984 has 576 divisors, whose sum is σ = 35379428313600. Its totient is φ = 2457929650176.

The previous prime is 9493461429983. The next prime is 9493461430027. The reversal of 9493461429984 is 4899241643949.

9493461429984 is a `hidden beast` number, since 9 + 49 + 3 + 461 + 42 + 9 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9493461429983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18244264 + ... + 18757400.

It is an arithmetic number, because the mean of its divisors is an integer number (61422618600).

Almost surely, 2^{9493461429984} 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 9493461429984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689714156800).

9493461429984 is an abundant number, since it is smaller than the sum of its proper divisors (25885966883616).

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

9493461429984 is a wasteful number, since it uses less digits than its factorization.

9493461429984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513212 (or 513191 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 9493461429984 in words is "nine trillion, four hundred ninety-three billion, four hundred sixty-one million, four hundred twenty-nine thousand, nine hundred eighty-four".