92468129121225 has 243 divisors, whose sum is σ = 197170592377941. Its totient is φ = 41375106115200.

The previous prime is 92468129121133. The next prime is 92468129121227. The reversal of 92468129121225 is 52212192186429.

It is a happy number.

The square root of 92468129121225 is 9616035.

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

92468129121225 is a `hidden beast` number, since 9 + 2 + 46 + 81 + 291 + 212 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23833797068169 + 68634332053056 = 4881987^2 + 8284584^2 .

It is not a de Polignac number, because 92468129121225 - 2³³ = 92459539186633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (92468129121227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 20626392834 + ... + 20626397316.

Almost surely, 2^{92468129121225} is an apocalyptic number.

92468129121225 is the 9616035-th square number.

92468129121225 is the 4808018-th centered octagonal number.

It is an amenable number.

92468129121225 is an abundant number, since it is smaller than the sum of its proper divisors (104702463256716).

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

92468129121225 is a wasteful number, since it uses less digits than its factorization.

92468129121225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9030 (or 4515 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 92468129121225 in words is "ninety-two trillion, four hundred sixty-eight billion, one hundred twenty-nine million, one hundred twenty-one thousand, two hundred twenty-five".