9407623824225 has 243 divisors, whose sum is σ = 19211839732267. Its totient is φ = 4397116416000.

The previous prime is 9407623824211. The next prime is 9407623824229. The reversal of 9407623824225 is 5224283267049.

The square root of 9407623824225 is 3067185.

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

9407623824225 is a `hidden beast` number, since 9 + 4 + 0 + 7 + 623 + 8 + 2 + 4 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1669390618401 + 7738233205824 = 1292049^2 + 2781768^2 .

It is not a de Polignac number, because 9407623824225 - 2²¹ = 9407621727073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9407623824229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14676479905 + ... + 14676480545.

Almost surely, 2^{9407623824225} is an apocalyptic number.

9407623824225 is the 3067185-th square number.

9407623824225 is the 1533593-rd centered octagonal number.

It is an amenable number.

9407623824225 is an abundant number, since it is smaller than the sum of its proper divisors (9804215908042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9407623824225 is a wasteful number, since it uses less digits than its factorization.

9407623824225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 9407623824225 in words is "nine trillion, four hundred seven billion, six hundred twenty-three million, eight hundred twenty-four thousand, two hundred twenty-five".