9618231168000 has 4224 divisors, whose sum is σ = 47336651631360. Its totient is φ = 1902536294400.

The previous prime is 9618231167959. The next prime is 9618231168001. The reversal of 9618231168000 is 8611328169.

9618231168000 is a `hidden beast` number, since 9 + 618 + 23 + 1 + 1 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9618231168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37425023872 + ... + 37425024128.

Almost surely, 2^{9618231168000} is an apocalyptic number.

9618231168000 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 9618231168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668325815680).

9618231168000 is an abundant number, since it is smaller than the sum of its proper divisors (37718420463360).

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

9618231168000 is a wasteful number, since it uses less digits than its factorization.

9618231168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 9618231168000 in words is "nine trillion, six hundred eighteen billion, two hundred thirty-one million, one hundred sixty-eight thousand".