330331161600 has 1782 divisors, whose sum is σ = 1414692970782. Its totient is φ = 73531392000.

The previous prime is 330331161599. The next prime is 330331161649. The reversal of 330331161600 is 6161133033.

330331161600 is a `hidden beast` number, since 3 + 3 + 0 + 33 + 11 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 81896702976 + 248434458624 = 286176^2 + 498432^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 8056857580 + ... + 8056857620.

Almost surely, 2^330331161600 is an apocalyptic number.

330331161600 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 330331161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707346485391).

330331161600 is an abundant number, since it is smaller than the sum of its proper divisors (1084361809182).

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

330331161600 is a wasteful number, since it uses less digits than its factorization.

330331161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 330331161600 its reverse (6161133033), we get a palindrome (336492294633).

The spelling of 330331161600 in words is "three hundred thirty billion, three hundred thirty-one million, one hundred sixty-one thousand, six hundred".