993355718688 has 336 divisors, whose sum is σ = 3048084950400. Its totient is φ = 318139799040.

The previous prime is 993355718683. The next prime is 993355718699. The reversal of 993355718688 is 886817553399.

993355718688 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 557 + 1 + 8 + 68 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (993355718681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 142740553 + ... + 142747511.

It is an arithmetic number, because the mean of its divisors is an integer number (9071681400).

Almost surely, 2^993355718688 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 993355718688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524042475200).

993355718688 is an abundant number, since it is smaller than the sum of its proper divisors (2054729231712).

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

993355718688 is a wasteful number, since it uses less digits than its factorization.

993355718688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227 (or 7204 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 72.

The spelling of 993355718688 in words is "nine hundred ninety-three billion, three hundred fifty-five million, seven hundred eighteen thousand, six hundred eighty-eight".