9416805285888 has 2560 divisors, whose sum is σ = 39473502566400. Its totient is φ = 2184944025600.

The previous prime is 9416805285887. The next prime is 9416805285889. The reversal of 9416805285888 is 8885825086149.

9416805285888 is a `hidden beast` number, since 9 + 4 + 16 + 8 + 0 + 5 + 28 + 588 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (9416805285887) and next prime (9416805285889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9416805285887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 303767912433 + ... + 303767912463.

It is an arithmetic number, because the mean of its divisors is an integer number (15419336940).

Almost surely, 2^{9416805285888} is an apocalyptic number.

9416805285888 is a gapful number since it is divisible by the number (98) 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 9416805285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736751283200).

9416805285888 is an abundant number, since it is smaller than the sum of its proper divisors (30056697280512).

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

9416805285888 is an equidigital number, since it uses as much as digits as its factorization.

9416805285888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 72.

The spelling of 9416805285888 in words is "nine trillion, four hundred sixteen billion, eight hundred five million, two hundred eighty-five thousand, eight hundred eighty-eight".