332033020300020 has 192 divisors, whose sum is σ = 1016190154506240. Its totient is φ = 80513787412992.

The previous prime is 332033020300019. The next prime is 332033020300063. The reversal of 332033020300020 is 20003020330233.

It is a super-2 number, since 2×332033020300020² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332033020300020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15074701 + ... + 29854859.

It is an arithmetic number, because the mean of its divisors is an integer number (5292657054720).

Almost surely, 2^{332033020300020} is an apocalyptic number.

332033020300020 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 332033020300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508095077253120).

332033020300020 is an abundant number, since it is smaller than the sum of its proper divisors (684157134206220).

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

332033020300020 is a wasteful number, since it uses less digits than its factorization.

332033020300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780614 (or 14780612 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 332033020300020 its reverse (20003020330233), we get a palindrome (352036040630253).

The spelling of 332033020300020 in words is "three hundred thirty-two trillion, thirty-three billion, twenty million, three hundred thousand, twenty".