331936432128 has 456 divisors, whose sum is σ = 1112327299200. Its totient is φ = 93428121600.

The previous prime is 331936432123. The next prime is 331936432129. The reversal of 331936432128 is 821234639133.

331936432128 is a `hidden beast` number, since 3 + 3 + 1 + 93 + 6 + 432 + 128 = 666.

It is a super-2 number, since 2×331936432128² (a number of 24 digits) contains 22 as substring.

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 (331936432123) by changing a digit.

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, 1668022173 + ... + 1668022371.

Almost surely, 2^331936432128 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 331936432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556163649600).

331936432128 is an abundant number, since it is smaller than the sum of its proper divisors (780390867072).

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

331936432128 is an equidigital number, since it uses as much as digits as its factorization.

331936432128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 312 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 331936432128 in words is "three hundred thirty-one billion, nine hundred thirty-six million, four hundred thirty-two thousand, one hundred twenty-eight".