98932266225 has 81 divisors (see below), whose sum is σ = 191996892867. Its totient is φ = 48674920320.

The previous prime is 98932266197. The next prime is 98932266283. The reversal of 98932266225 is 52266223989.

The square root of 98932266225 is 314535.

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

98932266225 is a `hidden beast` number, since 9 + 8 + 9 + 3 + 2 + 2 + 6 + 622 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 85386099681 + 13546166544 = 292209^2 + 116388^2 .

It is not a de Polignac number, because 98932266225 - 2⁹ = 98932265713 is a prime.

It is a Curzon number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 61333519 + ... + 61335131.

Almost surely, 2^98932266225 is an apocalyptic number.

98932266225 is the 314535-th square number.

98932266225 is the 157268-th centered octagonal number.

It is an amenable number.

98932266225 is a deficient number, since it is larger than the sum of its proper divisors (93064626642).

98932266225 is a wasteful number, since it uses less digits than its factorization.

98932266225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 1634 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 98932266225 in words is "ninety-eight billion, nine hundred thirty-two million, two hundred sixty-six thousand, two hundred twenty-five".