9471168000 has 1120 divisors, whose sum is σ = 41863124160. Its totient is φ = 2090188800.

The previous prime is 9471167969. The next prime is 9471168001. The reversal of 9471168000 is 8611749.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (9471168001) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 326591986 + ... + 326592014.

Almost surely, 2^9471168000 is an apocalyptic number.

9471168000 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 9471168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20931562080).

9471168000 is an abundant number, since it is smaller than the sum of its proper divisors (32391956160).

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

9471168000 is an frugal number, since it uses more digits than its factorization.

9471168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 9471168000 is about 97319.9260172345. The cubic root of 9471168000 is about 2115.7670373159.

Adding to 9471168000 its reverse (8611749), we get a palindrome (9479779749).

The spelling of 9471168000 in words is "nine billion, four hundred seventy-one million, one hundred sixty-eight thousand".