9381296631168 has 3072 divisors, whose sum is σ = 39700465459200. Its totient is φ = 2128409395200.

The previous prime is 9381296631137. The next prime is 9381296631191. The reversal of 9381296631168 is 8611366921839.

9381296631168 is a `hidden beast` number, since 9 + 381 + 2 + 9 + 66 + 31 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 51830368038 + ... + 51830368218.

It is an arithmetic number, because the mean of its divisors is an integer number (12923328600).

Almost surely, 2^{9381296631168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9381296631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19850232729600).

9381296631168 is an abundant number, since it is smaller than the sum of its proper divisors (30319168828032).

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

9381296631168 is a wasteful number, since it uses less digits than its factorization.

9381296631168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 307 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The spelling of 9381296631168 in words is "nine trillion, three hundred eighty-one billion, two hundred ninety-six million, six hundred thirty-one thousand, one hundred sixty-eight".