331144664832 has 288 divisors, whose sum is σ = 1007004398400. Its totient is φ = 107292377088.

The previous prime is 331144664797. The next prime is 331144664833. The reversal of 331144664832 is 238466441133.

331144664832 is a `hidden beast` number, since 3 + 3 + 114 + 466 + 48 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331144664833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39926478 + ... + 39934770.

It is an arithmetic number, because the mean of its divisors is an integer number (3496543050).

Almost surely, 2^331144664832 is an apocalyptic number.

331144664832 is a gapful number since it is divisible by the number (32) 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 331144664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503502199200).

331144664832 is an abundant number, since it is smaller than the sum of its proper divisors (675859733568).

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

331144664832 is a wasteful number, since it uses less digits than its factorization.

331144664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8480 (or 8460 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 331144664832 in words is "three hundred thirty-one billion, one hundred forty-four million, six hundred sixty-four thousand, eight hundred thirty-two".