9191248641 has 9 divisors (see below), whose sum is σ = 13276663491. Its totient is φ = 6127307352.

The previous prime is 9191248597. The next prime is 9191248657. The reversal of 9191248641 is 1468421919.

It is a happy number.

The square root of 9191248641 is 95871.

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., 7359066225 + 1832182416 = 85785^2 + 42804^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 9191248641 - 2¹¹ = 9191246593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9191248681) 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, 271635 + ... + 303591.

Almost surely, 2^9191248641 is an apocalyptic number.

9191248641 is the 95871-st square number.

9191248641 is the 47936-th centered octagonal number.

It is an amenable number.

9191248641 is a deficient number, since it is larger than the sum of its proper divisors (4085414850).

9191248641 is an frugal number, since it uses more digits than its factorization.

9191248641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63920 (or 31960 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The cubic root of 9191248641 is about 2094.7144964784.

The spelling of 9191248641 in words is "nine billion, one hundred ninety-one million, two hundred forty-eight thousand, six hundred forty-one".