331839145008 has 400 divisors, whose sum is σ = 1108327475200. Its totient is φ = 93893893632.

The previous prime is 331839144977. The next prime is 331839145009. The reversal of 331839145008 is 800541938133.

331839145008 is a `hidden beast` number, since 3 + 31 + 83 + 91 + 450 + 0 + 8 = 666.

It is a super-2 number, since 2×331839145008² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331839145009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716714985 + ... + 716715447.

It is an arithmetic number, because the mean of its divisors is an integer number (2770818688).

Almost surely, 2^331839145008 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 331839145008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554163737600).

331839145008 is an abundant number, since it is smaller than the sum of its proper divisors (776488330192).

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

331839145008 is a wasteful number, since it uses less digits than its factorization.

331839145008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 331839145008 in words is "three hundred thirty-one billion, eight hundred thirty-nine million, one hundred forty-five thousand, eight".