331168893907440 has 160 divisors (see below), whose sum is σ = 1031262473191680. Its totient is φ = 87913272342528.

The previous prime is 331168893907427. The next prime is 331168893907441. The reversal of 331168893907440 is 44709398861133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331168893907441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66818004 + ... + 71602956.

It is an arithmetic number, because the mean of its divisors is an integer number (6445390457448).

Almost surely, 2^{331168893907440} is an apocalyptic number.

331168893907440 is a gapful number since it is divisible by the number (30) 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 331168893907440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515631236595840).

331168893907440 is an abundant number, since it is smaller than the sum of its proper divisors (700093579284240).

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

331168893907440 is a wasteful number, since it uses less digits than its factorization.

331168893907440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786271 (or 4786265 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 331168893907440 in words is "three hundred thirty-one trillion, one hundred sixty-eight billion, eight hundred ninety-three million, nine hundred seven thousand, four hundred forty".