9248163840 has 288 divisors, whose sum is σ = 33453725760. Its totient is φ = 2358411264.

The previous prime is 9248163839. The next prime is 9248163851. The reversal of 9248163840 is 483618429.

It is a happy number.

9248163840 is a `hidden beast` number, since 9 + 2 + 4 + 8 + 1 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×9248163840³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 2117499 + ... + 2121861.

It is an arithmetic number, because the mean of its divisors is an integer number (116158770).

Almost surely, 2^9248163840 is an apocalyptic number.

9248163840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9248163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16726862880).

9248163840 is an abundant number, since it is smaller than the sum of its proper divisors (24205561920).

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

9248163840 is a wasteful number, since it uses less digits than its factorization.

9248163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4419 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 9248163840 is about 96167.3740932963. The cubic root of 9248163840 is about 2099.0293201007.

The spelling of 9248163840 in words is "nine billion, two hundred forty-eight million, one hundred sixty-three thousand, eight hundred forty".