332231278128768 has 384 divisors, whose sum is σ = 983901685104000. Its totient is φ = 107562103013376.

The previous prime is 332231278128749. The next prime is 332231278128773. The reversal of 332231278128768 is 867821872132233.

332231278128768 is a `hidden beast` number, since 3 + 3 + 2 + 23 + 1 + 278 + 1 + 287 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×332231278128768² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8269170696 + ... + 8269210872.

It is an arithmetic number, because the mean of its divisors is an integer number (2562243971625).

Almost surely, 2^{332231278128768} 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 332231278128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491950842552000).

332231278128768 is an abundant number, since it is smaller than the sum of its proper divisors (651670406975232).

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

332231278128768 is a wasteful number, since it uses less digits than its factorization.

332231278128768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41712 (or 41697 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 332231278128768 in words is "three hundred thirty-two trillion, two hundred thirty-one billion, two hundred seventy-eight million, one hundred twenty-eight thousand, seven hundred sixty-eight".