9116385408000 has 1760 divisors, whose sum is σ = 36871043489280. Its totient is φ = 2226747801600.

The previous prime is 9116385407971. The next prime is 9116385408037. The reversal of 9116385408000 is 8045836119.

9116385408000 is a `hidden beast` number, since 9 + 1 + 1 + 638 + 5 + 4 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 32213375859 + ... + 32213376141.

It is an arithmetic number, because the mean of its divisors is an integer number (20949456528).

Almost surely, 2^{9116385408000} is an apocalyptic number.

9116385408000 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 9116385408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435521744640).

9116385408000 is an abundant number, since it is smaller than the sum of its proper divisors (27754658081280).

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

9116385408000 is a wasteful number, since it uses less digits than its factorization.

9116385408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 9116385408000 in words is "nine trillion, one hundred sixteen billion, three hundred eighty-five million, four hundred eight thousand".