9468144000 has 1024 divisors, whose sum is σ = 41549414400. Its totient is φ = 2073600000.

The previous prime is 9468143983. The next prime is 9468144001. The reversal of 9468144000 is 4418649.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9468144001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93743950 + ... + 93744050.

It is an arithmetic number, because the mean of its divisors is an integer number (40575600).

Almost surely, 2^9468144000 is an apocalyptic number.

9468144000 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 9468144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774707200).

9468144000 is an abundant number, since it is smaller than the sum of its proper divisors (32081270400).

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

9468144000 is a wasteful number, since it uses less digits than its factorization.

9468144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9468144000 is about 97304.3883902468. The cubic root of 9468144000 is about 2115.5418359265.

The spelling of 9468144000 in words is "nine billion, four hundred sixty-eight million, one hundred forty-four thousand".