9248000000 has 252 divisors, whose sum is σ = 24553689615. Its totient is φ = 3481600000.

The previous prime is 9247999939. The next prime is 9248000087. The reversal of 9248000000 is 8429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 11 ways, for example, as 5814977536 + 3433022464 = 76256^2 + 58592^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=68000.

It is a self number, because there is not a number n which added to its sum of digits gives 9248000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 543999992 + ... + 544000008.

Almost surely, 2^9248000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9248000000

9248000000 is an abundant number, since it is smaller than the sum of its proper divisors (15305689615).

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

9248000000 is an frugal number, since it uses more digits than its factorization.

9248000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 9248000000 is about 96166.5222413705. The cubic root of 9248000000 is about 2099.0169245953.

Adding to 9248000000 its reverse (8429), we get a palindrome (9248008429).

The spelling of 9248000000 in words is "nine billion, two hundred forty-eight million", and thus it is an aban number.