9387513828128 has 54 divisors (see below), whose sum is σ = 19320976073889. Its totient is φ = 4489489873792.

The previous prime is 9387513828109. The next prime is 9387513828137. The reversal of 9387513828128 is 8218283157839.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4953170727184 + 4434343100944 = 2225572^2 + 2105788^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2166508.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398625698 + ... + 398649246.

Almost surely, 2^{9387513828128} 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 9387513828128

9387513828128 is an abundant number, since it is smaller than the sum of its proper divisors (9933462245761).

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

9387513828128 is an frugal number, since it uses more digits than its factorization.

9387513828128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47154 (or 23574 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 65.

The spelling of 9387513828128 in words is "nine trillion, three hundred eighty-seven billion, five hundred thirteen million, eight hundred twenty-eight thousand, one hundred twenty-eight".