9338907820032 has 768 divisors, whose sum is σ = 32243974963200. Its totient is φ = 2645820702720.

The previous prime is 9338907820007. The next prime is 9338907820043. The reversal of 9338907820032 is 2300287098339.

9338907820032 is a `hidden beast` number, since 9 + 338 + 9 + 0 + 78 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7301725569 + ... + 7301726847.

It is an arithmetic number, because the mean of its divisors is an integer number (41984342400).

Almost surely, 2^{9338907820032} 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 9338907820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16121987481600).

9338907820032 is an abundant number, since it is smaller than the sum of its proper divisors (22905067143168).

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

9338907820032 is an equidigital number, since it uses as much as digits as its factorization.

9338907820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9338907820032 in words is "nine trillion, three hundred thirty-eight billion, nine hundred seven million, eight hundred twenty thousand, thirty-two".