9193418164225 has 9 divisors (see below), whose sum is σ = 11399857322473. Its totient is φ = 7354722403120.

The previous prime is 9193418164213. The next prime is 9193418164237. The reversal of 9193418164225 is 5224618143919.

The square root of 9193418164225 is 3032065.

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

It is an interprime number because it is at equal distance from previous prime (9193418164213) and next prime (9193418164237).

It can be written as a sum of positive squares in 4 ways, for example, as 5478300692929 + 3715117471296 = 2340577^2 + 1927464^2 .

It is not a de Polignac number, because 9193418164225 - 2¹¹ = 9193418162177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14857119 + ... + 15463531.

Almost surely, 2^{9193418164225} is an apocalyptic number.

9193418164225 is the 3032065-th square number.

9193418164225 is the 1516033-rd centered octagonal number.

It is an amenable number.

9193418164225 is a deficient number, since it is larger than the sum of its proper divisors (2206439158248).

9193418164225 is an frugal number, since it uses more digits than its factorization.

9193418164225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212836 (or 606418 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 9193418164225 in words is "nine trillion, one hundred ninety-three billion, four hundred eighteen million, one hundred sixty-four thousand, two hundred twenty-five".