9923148225 has 81 divisors (see below), whose sum is σ = 18488205723. Its totient is φ = 5087537280.

The previous prime is 9923148199. The next prime is 9923148229. The reversal of 9923148225 is 5228413299.

The square root of 9923148225 is 99615.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1383170481 + 8539977744 = 37191^2 + 92412^2 .

It is a de Polignac number, because none of the positive numbers 2^k-9923148225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9923148229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43332411 + ... + 43332639.

Almost surely, 2^9923148225 is an apocalyptic number.

9923148225 is the 99615-th square number.

9923148225 is the 49808-th centered octagonal number.

It is an amenable number.

9923148225 is a deficient number, since it is larger than the sum of its proper divisors (8565057498).

9923148225 is a wasteful number, since it uses less digits than its factorization.

9923148225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The cubic root of 9923148225 is about 2148.9014200081.

It can be divided in two parts, 99231 and 48225, that added together give a square (147456 = 384²).

The spelling of 9923148225 in words is "nine billion, nine hundred twenty-three million, one hundred forty-eight thousand, two hundred twenty-five".