332800000000 has 306 divisors, whose sum is σ = 895992705314. Its totient is φ = 122880000000.

The previous prime is 332799999977. The next prime is 332800000031. The reversal of 332800000000 is 8233.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 54151151616 + 278648848384 = 232704^2 + 527872^2 .

It is a super-2 number, since 2×332800000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 332800000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25599999994 + ... + 25600000006.

Almost surely, 2^332800000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447996352657).

332800000000 is an abundant number, since it is smaller than the sum of its proper divisors (563192705314).

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

332800000000 is an frugal number, since it uses more digits than its factorization.

332800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 332800000000 its reverse (8233), we get a palindrome (332800008233).

The spelling of 332800000000 in words is "three hundred thirty-two billion, eight hundred million", and thus it is an aban number.