9228238848000 has 1152 divisors, whose sum is σ = 35646750397440. Its totient is φ = 2351274393600.

The previous prime is 9228238847963. The next prime is 9228238848007. The reversal of 9228238848000 is 8488328229.

9228238848000 is a `hidden beast` number, since 9 + 2 + 2 + 82 + 3 + 88 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9228238848007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10174463547 + ... + 10174464453.

It is an arithmetic number, because the mean of its divisors is an integer number (30943359720).

Almost surely, 2^{9228238848000} is an apocalyptic number.

9228238848000 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 9228238848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823375198720).

9228238848000 is an abundant number, since it is smaller than the sum of its proper divisors (26418511549440).

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

9228238848000 is an frugal number, since it uses more digits than its factorization.

9228238848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 9228238848000 in words is "nine trillion, two hundred twenty-eight billion, two hundred thirty-eight million, eight hundred forty-eight thousand".