9997949174165 has 48 divisors (see below), whose sum is σ = 12883452246000. Its totient is φ = 7442310306816.

The previous prime is 9997949174141. The next prime is 9997949174183. The reversal of 9997949174165 is 5614719497999.

9997949174165 = T₁ + T₂ + ... + T₃₉₁₄₅.

9997949174165 is a nontrivial binomial coefficient, being equal to C(39147, 3).

It can be written as a sum of positive squares in 8 ways, for example, as 2651941009 + 9995297233156 = 51497^2 + 3161534^2 .

It is not a de Polignac number, because 9997949174165 - 2¹⁶ = 9997949108629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 9997949174165.

It is a congruent number.

It is an unprimeable number.

It is the 39145-th tetrahedral number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766178561 + ... + 766191609.

It is an arithmetic number, because the mean of its divisors is an integer number (268405255125).

Almost surely, 2^{9997949174165} is an apocalyptic number.

It is an amenable number.

9997949174165 is a deficient number, since it is larger than the sum of its proper divisors (2885503071835).

9997949174165 is a wasteful number, since it uses less digits than its factorization.

9997949174165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20966 (or 20943 counting only the distinct ones).

The product of its digits is 1388832480, while the sum is 80.

The spelling of 9997949174165 in words is "nine trillion, nine hundred ninety-seven billion, nine hundred forty-nine million, one hundred seventy-four thousand, one hundred sixty-five".