993321157865472 has 1040 divisors, whose sum is σ = 3183959415809760. Its totient is φ = 306029625016320.

The previous prime is 993321157865441. The next prime is 993321157865497. The reversal of 993321157865472 is 274568751123399.

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.

993321157865472 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 2 + 1 + 1 + 5 + 78 + 6 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 993321157865472 = 12464³ + 99712³ = 56088³ + 93480³.

It is a self number, because there is not a number n which added to its sum of digits gives 993321157865472.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24227345313772 + ... + 24227345313812.

Almost surely, 2^{993321157865472} 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 993321157865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591979707904880).

993321157865472 is an abundant number, since it is smaller than the sum of its proper divisors (2190638257944288).

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

993321157865472 is an frugal number, since it uses more digits than its factorization.

993321157865472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 65 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 993321157865472 in words is "nine hundred ninety-three trillion, three hundred twenty-one billion, one hundred fifty-seven million, eight hundred sixty-five thousand, four hundred seventy-two".