331942123008 has 320 divisors, whose sum is σ = 1013569413120. Its totient is φ = 107198816256.

The previous prime is 331942123003. The next prime is 331942123033. The reversal of 331942123008 is 800321249133.

331942123008 is a `hidden beast` number, since 331 + 9 + 4 + 2 + 12 + 300 + 8 = 666.

It is a super-2 number, since 2×331942123008² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331942123003) 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, 75490666 + ... + 75495062.

It is an arithmetic number, because the mean of its divisors is an integer number (3167404416).

Almost surely, 2^331942123008 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 331942123008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506784706560).

331942123008 is an abundant number, since it is smaller than the sum of its proper divisors (681627290112).

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

331942123008 is a wasteful number, since it uses less digits than its factorization.

331942123008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 331942123008 in words is "three hundred thirty-one billion, nine hundred forty-two million, one hundred twenty-three thousand, eight".