331666016000 has 288 divisors, whose sum is σ = 912818350080. Its totient is φ = 119069184000.

The previous prime is 331666015997. The next prime is 331666016029. The reversal of 331666016000 is 610666133.

It is a super-2 number, since 2×331666016000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27802037 + ... + 27813963.

It is an arithmetic number, because the mean of its divisors is an integer number (3169508160).

Almost surely, 2^331666016000 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 331666016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456409175040).

331666016000 is an abundant number, since it is smaller than the sum of its proper divisors (581152334080).

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

331666016000 is a wasteful number, since it uses less digits than its factorization.

331666016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12048 (or 12024 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 331666016000 in words is "three hundred thirty-one billion, six hundred sixty-six million, sixteen thousand".