993119342688 has 1152 divisors, whose sum is σ = 3521550090240. Its totient is φ = 261769052160.

The previous prime is 993119342659. The next prime is 993119342693. The reversal of 993119342688 is 886243911399.

993119342688 is a `hidden beast` number, since 9 + 93 + 119 + 3 + 426 + 8 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 7819837281 + ... + 7819837407.

It is an arithmetic number, because the mean of its divisors is an integer number (3056901120).

Almost surely, 2^993119342688 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 993119342688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760775045120).

993119342688 is an abundant number, since it is smaller than the sum of its proper divisors (2528430747552).

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

993119342688 is a wasteful number, since it uses less digits than its factorization.

993119342688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 349 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 993119342688 in words is "nine hundred ninety-three billion, one hundred nineteen million, three hundred forty-two thousand, six hundred eighty-eight".