331145533080 has 192 divisors, whose sum is σ = 1099772069760. Its totient is φ = 86375476224.

The previous prime is 331145533049. The next prime is 331145533091. The reversal of 331145533080 is 80335541133.

331145533080 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 45 + 533 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34731994 + ... + 34741526.

It is an arithmetic number, because the mean of its divisors is an integer number (5727979530).

Almost surely, 2^331145533080 is an apocalyptic number.

331145533080 is a gapful number since it is divisible by the number (30) 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 331145533080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549886034880).

331145533080 is an abundant number, since it is smaller than the sum of its proper divisors (768626536680).

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

331145533080 is a wasteful number, since it uses less digits than its factorization.

331145533080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11650 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 331145533080 in words is "three hundred thirty-one billion, one hundred forty-five million, five hundred thirty-three thousand, eighty".