331689633912 has 320 divisors, whose sum is σ = 1210695837120. Its totient is φ = 82332536832.

The previous prime is 331689633893. The next prime is 331689633973. The reversal of 331689633912 is 219336986133.

331689633912 is a `hidden beast` number, since 3 + 3 + 168 + 96 + 3 + 391 + 2 = 666.

It is a super-2 number, since 2×331689633912² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 837018 + ... + 1167894.

It is an arithmetic number, because the mean of its divisors is an integer number (3783424491).

Almost surely, 2^331689633912 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 331689633912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605347918560).

331689633912 is an abundant number, since it is smaller than the sum of its proper divisors (879006203208).

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

331689633912 is a wasteful number, since it uses less digits than its factorization.

331689633912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330932 (or 330919 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 331689633912 in words is "three hundred thirty-one billion, six hundred eighty-nine million, six hundred thirty-three thousand, nine hundred twelve".