331566144 has 168 divisors, whose sum is σ = 1099401408. Its totient is φ = 87413760.

The previous prime is 331566127. The next prime is 331566187. The reversal of 331566144 is 441665133.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×331566144² = 219872215694057472, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 120949 + ... + 123659.

It is an arithmetic number, because the mean of its divisors is an integer number (6544056).

Almost surely, 2^331566144 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 331566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549700704).

331566144 is an abundant number, since it is smaller than the sum of its proper divisors (767835264).

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

331566144 is a wasteful number, since it uses less digits than its factorization.

331566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2736 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 331566144 is about 18208.9577955467. The cubic root of 331566144 is about 692.1338019640.

The spelling of 331566144 in words is "three hundred thirty-one million, five hundred sixty-six thousand, one hundred forty-four".