9384875136000 has 4400 divisors, whose sum is σ = 45455894724240. Its totient is φ = 1911826022400.

The previous prime is 9384875135893. The next prime is 9384875136011. The reversal of 9384875136000 is 6315784839.

9384875136000 is a `hidden beast` number, since 93 + 8 + 487 + 5 + 13 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4723006869504 + 4661868266496 = 2173248^2 + 2159136^2 .

It is a super-2 number, since 2×9384875136000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 323616383986 + ... + 323616384014.

Almost surely, 2^{9384875136000} is an apocalyptic number.

9384875136000 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 9384875136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727947362120).

9384875136000 is an abundant number, since it is smaller than the sum of its proper divisors (36071019588240).

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

9384875136000 is an equidigital number, since it uses as much as digits as its factorization.

9384875136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 9384875136000 in words is "nine trillion, three hundred eighty-four billion, eight hundred seventy-five million, one hundred thirty-six thousand".