9970166208249 has 27 divisors (see below), whose sum is σ = 15594555144207. Its totient is φ = 6135411116016.

The previous prime is 9970166208239. The next prime is 9970166208251. The reversal of 9970166208249 is 9428026610799.

The square root of 9970166208249 is 3157557.

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

9970166208249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1474876658025 + 8495289550224 = 1214445^2 + 2914668^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9970166208249 is a prime.

It is a super-2 number, since 2×9970166208249² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9970166208209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123104242 + ... + 123185204.

Almost surely, 2^{9970166208249} is an apocalyptic number.

9970166208249 is the 3157557-th square number.

9970166208249 is the 1578779-th centered octagonal number.

It is an amenable number.

9970166208249 is a deficient number, since it is larger than the sum of its proper divisors (5624388935958).

9970166208249 is an frugal number, since it uses more digits than its factorization.

9970166208249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161958 (or 80979 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 9970166208249 in words is "nine trillion, nine hundred seventy billion, one hundred sixty-six million, two hundred eight thousand, two hundred forty-nine".