332116512 has 144 divisors (see below), whose sum is σ = 1092353472. Its totient is φ = 87575040.

The previous prime is 332116507. The next prime is 332116517. The reversal of 332116512 is 215611233.

It is an interprime number because it is at equal distance from previous prime (332116507) and next prime (332116517).

It is a super-2 number, since 2×332116512² = 220602755086092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (332116517) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58437 + ... + 63867.

It is an arithmetic number, because the mean of its divisors is an integer number (7585788).

Almost surely, 2^332116512 is an apocalyptic number.

332116512 is a gapful number since it is divisible by the number (32) 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 332116512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546176736).

332116512 is an abundant number, since it is smaller than the sum of its proper divisors (760236960).

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

332116512 is a wasteful number, since it uses less digits than its factorization.

332116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5456 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 332116512 is about 18224.0640911955. The cubic root of 332116512 is about 692.5165488449.

Adding to 332116512 its reverse (215611233), we get a palindrome (547727745).

It can be divided in two parts, 33 and 2116512, that multiplied together give a palindrome (69844896).

The spelling of 332116512 in words is "three hundred thirty-two million, one hundred sixteen thousand, five hundred twelve".