9993169368 has 384 divisors, whose sum is σ = 35392896000. Its totient is φ = 2588785920.

The previous prime is 9993169367. The next prime is 9993169369. The reversal of 9993169368 is 8639613999.

9993169368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9993169367) and next prime (9993169369).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9993169367) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8117313 + ... + 8118543.

It is an arithmetic number, because the mean of its divisors is an integer number (92169000).

Almost surely, 2^9993169368 is an apocalyptic number.

9993169368 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993169368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448000).

9993169368 is an abundant number, since it is smaller than the sum of its proper divisors (25399726632).

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

9993169368 is a wasteful number, since it uses less digits than its factorization.

9993169368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its digits is 17006112, while the sum is 63.

The square root of 9993169368 is about 99965.8410058156. The cubic root of 9993169368 is about 2153.9440399487.

The spelling of 9993169368 in words is "nine billion, nine hundred ninety-three million, one hundred sixty-nine thousand, three hundred sixty-eight".