993606629361696 has 432 divisors, whose sum is σ = 3296060609587200. Its totient is φ = 283095487696896.

The previous prime is 993606629361653. The next prime is 993606629361743. The reversal of 993606629361696 is 696163926606399.

It is a happy number.

993606629361696 is a `hidden beast` number, since 9 + 9 + 360 + 6 + 6 + 2 + 93 + 6 + 169 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38261245800 + ... + 38261271768.

It is an arithmetic number, because the mean of its divisors is an integer number (7629769929600).

Almost surely, 2^{993606629361696} is an apocalyptic number.

993606629361696 is a gapful number since it is divisible by the number (96) 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 993606629361696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648030304793600).

993606629361696 is an abundant number, since it is smaller than the sum of its proper divisors (2302453980225504).

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

993606629361696 is a wasteful number, since it uses less digits than its factorization.

993606629361696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33461 (or 33443 counting only the distinct ones).

The product of its (nonzero) digits is 5509980288, while the sum is 81.

The spelling of 993606629361696 in words is "nine hundred ninety-three trillion, six hundred six billion, six hundred twenty-nine million, three hundred sixty-one thousand, six hundred ninety-six".