332001000000000 has 1200 divisors, whose sum is σ = 1231326231334056. Its totient is φ = 86054400000000.

The previous prime is 332000999999987. The next prime is 332001000000001. The reversal of 332001000000000 is 100233.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 225479775488256 + 106521224511744 = 15015984^2 + 10320912^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×332001000000000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (332001000000001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 332999999502 + ... + 333000000498.

Almost surely, 2^{332001000000000} is an apocalyptic number.

332001000000000 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 332001000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615663115667028).

332001000000000 is an abundant number, since it is smaller than the sum of its proper divisors (899325231334056).

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

332001000000000 is an frugal number, since it uses more digits than its factorization.

332001000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 332001000000000 its reverse (100233), we get a palindrome (332001000100233).

The spelling of 332001000000000 in words is "three hundred thirty-two trillion, one billion", and thus it is an aban number.