9385331904000 has 960 divisors, whose sum is σ = 36845577857088. Its totient is φ = 2282250240000.

The previous prime is 9385331903939. The next prime is 9385331904001. The reversal of 9385331904000 is 4091335839.

9385331904000 is a `hidden beast` number, since 9 + 3 + 8 + 53 + 3 + 190 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9385331904001) 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, 621496450 + ... + 621511550.

Almost surely, 2^{9385331904000} is an apocalyptic number.

9385331904000 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 9385331904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18422788928544).

9385331904000 is an abundant number, since it is smaller than the sum of its proper divisors (27460245953088).

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

9385331904000 is a wasteful number, since it uses less digits than its factorization.

9385331904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15236 (or 15207 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 9385331904000 in words is "nine trillion, three hundred eighty-five billion, three hundred thirty-one million, nine hundred four thousand".