332811189216 has 432 divisors, whose sum is σ = 1079945848800. Its totient is φ = 97032714240.

The previous prime is 332811189211. The next prime is 332811189223. The reversal of 332811189216 is 612981118233.

It is a super-2 number, since 2×332811189216² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332811189211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 514391005 + ... + 514391651.

It is an arithmetic number, because the mean of its divisors is an integer number (2499874650).

Almost surely, 2^332811189216 is an apocalyptic number.

332811189216 is a gapful number since it is divisible by the number (36) 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 332811189216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539972924400).

332811189216 is an abundant number, since it is smaller than the sum of its proper divisors (747134659584).

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

332811189216 is a wasteful number, since it uses less digits than its factorization.

332811189216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1201 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The spelling of 332811189216 in words is "three hundred thirty-two billion, eight hundred eleven million, one hundred eighty-nine thousand, two hundred sixteen".