9993665948176 has 45 divisors (see below), whose sum is σ = 19555089104109. Its totient is φ = 4947675132288.

The previous prime is 9993665948171. The next prime is 9993665948261. The reversal of 9993665948176 is 6718495663999.

The square root of 9993665948176 is 3161276.

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

It can be written as a sum of positive squares in only one way, i.e., 6326532867600 + 3667133080576 = 2515260^2 + 1914976^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9993665948176.

It is not an unprimeable number, because it can be changed into a prime (9993665948171) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1302441876 + ... + 1302449548.

Almost surely, 2^{9993665948176} is an apocalyptic number.

9993665948176 is the 3161276-th square number.

It is an amenable number.

9993665948176 is a deficient number, since it is larger than the sum of its proper divisors (9561423155933).

9993665948176 is an frugal number, since it uses more digits than its factorization.

9993665948176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15560 (or 7778 counting only the distinct ones).

The product of its digits is 4761711360, while the sum is 82.

The spelling of 9993665948176 in words is "nine trillion, nine hundred ninety-three billion, six hundred sixty-five million, nine hundred forty-eight thousand, one hundred seventy-six".