9914091282225 has 243 divisors, whose sum is σ = 19600855158339. Its totient is φ = 4787985945600.

The previous prime is 9914091282217. The next prime is 9914091282233. The reversal of 9914091282225 is 5222821904199.

The square root of 9914091282225 is 3148665.

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

9914091282225 is a `hidden beast` number, since 9 + 9 + 1 + 409 + 1 + 2 + 8 + 2 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (9914091282217) and next prime (9914091282233).

It can be written as a sum of positive squares in 13 ways, for example, as 7491262058289 + 2422829223936 = 2737017^2 + 1556544^2 .

It is not a de Polignac number, because 9914091282225 - 2³ = 9914091282217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 41137308105 + ... + 41137308345.

Almost surely, 2^{9914091282225} is an apocalyptic number.

9914091282225 is the 3148665-th square number.

9914091282225 is the 1574333-rd centered octagonal number.

It is an amenable number.

9914091282225 is a deficient number, since it is larger than the sum of its proper divisors (9686763876114).

9914091282225 is a wasteful number, since it uses less digits than its factorization.

9914091282225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9914091282225 in words is "nine trillion, nine hundred fourteen billion, ninety-one million, two hundred eighty-two thousand, two hundred twenty-five".