331314144 has 48 divisors (see below), whose sum is σ = 993944448. Its totient is φ = 94660992.

The previous prime is 331314133. The next prime is 331314157. The reversal of 331314144 is 441413133.

331314144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 245842 + ... + 247185.

It is an arithmetic number, because the mean of its divisors is an integer number (20707176).

Almost surely, 2^331314144 is an apocalyptic number.

It is an amenable number.

331314144 is an abundant number, since it is smaller than the sum of its proper divisors (662630304).

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

331314144 is a wasteful number, since it uses less digits than its factorization.

331314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493047 (or 493039 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 331314144 is about 18202.0368091046. The cubic root of 331314144 is about 691.9584101883.

Adding to 331314144 its reverse (441413133), we get a palindrome (772727277).

The spelling of 331314144 in words is "three hundred thirty-one million, three hundred fourteen thousand, one hundred forty-four".