9245248128 has 48 divisors (see below), whose sum is σ = 26604167850. Its totient is φ = 3081748992.

The previous prime is 9245248109. The next prime is 9245248183. The reversal of 9245248128 is 8218425429.

9245248128 is a `hidden beast` number, since 9 + 24 + 524 + 81 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8973393984 + 271854144 = 94728^2 + 16488^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×9245248128² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4011543 + ... + 4013846.

Almost surely, 2^9245248128 is an apocalyptic number.

It is an amenable number.

9245248128 is an abundant number, since it is smaller than the sum of its proper divisors (17358919722).

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

9245248128 is a wasteful number, since it uses less digits than its factorization.

9245248128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025409 (or 8025394 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 9245248128 is about 96152.2133286593. The cubic root of 9245248128 is about 2098.8087066408.

The spelling of 9245248128 in words is "nine billion, two hundred forty-five million, two hundred forty-eight thousand, one hundred twenty-eight".