9993729173796 has 135 divisors (see below), whose sum is σ = 27755467636897. Its totient is φ = 3134984100480.

The previous prime is 9993729173767. The next prime is 9993729173819. The reversal of 9993729173796 is 6973719273999.

The square root of 9993729173796 is 3161286.

It is a perfect power (a square), and thus also a powerful number.

9993729173796 is a `hidden beast` number, since 9 + 9 + 9 + 372 + 9 + 173 + 79 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7780584996900 + 2213144176896 = 2789370^2 + 1487664^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 967348351 + ... + 967358681.

Almost surely, 2^{9993729173796} is an apocalyptic number.

9993729173796 is the 3161286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9993729173796

9993729173796 is an abundant number, since it is smaller than the sum of its proper divisors (17761738463101).

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

9993729173796 is an equidigital number, since it uses as much as digits as its factorization.

9993729173796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20712 (or 10353 counting only the distinct ones).

The product of its digits is 2187411156, while the sum is 81.

Multiplying 9993729173796 by its sum of digits (81), we get a square (809492063077476 = 28451574²).

9993729173796 divided by its sum of digits (81) gives a square (123379372516 = 351254²).

The spelling of 9993729173796 in words is "nine trillion, nine hundred ninety-three billion, seven hundred twenty-nine million, one hundred seventy-three thousand, seven hundred ninety-six".