331509060864 has 162 divisors, whose sum is σ = 1015356575870. Its totient is φ = 104002633728.

The previous prime is 331509060859. The next prime is 331509060889. The reversal of 331509060864 is 468060905133.

331509060864 is a `hidden beast` number, since 3 + 3 + 1 + 509 + 0 + 60 + 86 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 76282020864 + 255227040000 = 276192^2 + 505200^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 416922 + ... + 914790.

Almost surely, 2^331509060864 is an apocalyptic number.

331509060864 is a gapful number since it is divisible by the number (34) 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 331509060864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507678287935).

331509060864 is an abundant number, since it is smaller than the sum of its proper divisors (683847515006).

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

331509060864 is a wasteful number, since it uses less digits than its factorization.

331509060864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497925 (or 497891 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 331509060864 its reverse (468060905133), we get a palindrome (799569965997).

The spelling of 331509060864 in words is "three hundred thirty-one billion, five hundred nine million, sixty thousand, eight hundred sixty-four".