993731504128 has 288 divisors, whose sum is σ = 2321270602560. Its totient is φ = 421650432000.

The previous prime is 993731504027. The next prime is 993731504131. The reversal of 993731504128 is 821405137399.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577414308 + ... + 577416028.

It is an arithmetic number, because the mean of its divisors is an integer number (8059967370).

Almost surely, 2^993731504128 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 993731504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160635301280).

993731504128 is an abundant number, since it is smaller than the sum of its proper divisors (1327539098432).

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

993731504128 is a wasteful number, since it uses less digits than its factorization.

993731504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 993731504128 in words is "nine hundred ninety-three billion, seven hundred thirty-one million, five hundred four thousand, one hundred twenty-eight".