331638431094432 has 2304 divisors, whose sum is σ = 1303290344079360. Its totient is φ = 77611696128000.

The previous prime is 331638431094419. The next prime is 331638431094473. The reversal of 331638431094432 is 234490134836133.

It is a happy number.

331638431094432 is a `hidden beast` number, since 3 + 3 + 1 + 63 + 8 + 43 + 109 + 4 + 432 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 287630902368 + ... + 287630903520.

It is an arithmetic number, because the mean of its divisors is an integer number (565664211840).

Almost surely, 2^{331638431094432} is an apocalyptic number.

331638431094432 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 331638431094432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651645172039680).

331638431094432 is an abundant number, since it is smaller than the sum of its proper divisors (971651912984928).

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

331638431094432 is a wasteful number, since it uses less digits than its factorization.

331638431094432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 331638431094432 in words is "three hundred thirty-one trillion, six hundred thirty-eight billion, four hundred thirty-one million, ninety-four thousand, four hundred thirty-two".