9248641000 has 32 divisors (see below), whose sum is σ = 21641822280. Its totient is φ = 3699456000.

The previous prime is 9248640997. The next prime is 9248641007. The reversal of 9248641000 is 1468429.

It can be written as a sum of positive squares in 4 ways, for example, as 584382276 + 8664258724 = 24174^2 + 93082^2 .

It is not an unprimeable number, because it can be changed into a prime (9248641007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4623321 + ... + 4625320.

Almost surely, 2^9248641000 is an apocalyptic number.

It is an amenable number.

9248641000 is an abundant number, since it is smaller than the sum of its proper divisors (12393181280).

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

9248641000 is a wasteful number, since it uses less digits than its factorization.

9248641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248662 (or 9248648 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 9248641000 is about 96169.8549442600. The cubic root of 9248641000 is about 2099.0654193604.

The spelling of 9248641000 in words is "nine billion, two hundred forty-eight million, six hundred forty-one thousand".