20331201323232 has 240 divisors, whose sum is σ = 61323563790720. Its totient is φ = 6604366503168.

The previous prime is 20331201323201. The next prime is 20331201323291. The reversal of 20331201323232 is 23232310213302.

20331201323232 is a `hidden beast` number, since 2 + 0 + 3 + 312 + 0 + 1 + 323 + 23 + 2 = 666.

It is a super-3 number, since 3×20331201323232³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20331201323196 and 20331201323205.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 48721423 + ... + 49136945.

It is an arithmetic number, because the mean of its divisors is an integer number (255514849128).

Almost surely, 2^{20331201323232} 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 20331201323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30661781895360).

20331201323232 is an abundant number, since it is smaller than the sum of its proper divisors (40992362467488).

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

20331201323232 is a wasteful number, since it uses less digits than its factorization.

20331201323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416027 (or 416010 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20331201323232 its reverse (23232310213302), we get a palindrome (43563511536534).

The spelling of 20331201323232 in words is "twenty trillion, three hundred thirty-one billion, two hundred one million, three hundred twenty-three thousand, two hundred thirty-two".