322321314112032 has 192 divisors, whose sum is σ = 901699331420160. Its totient is φ = 100578686275584.

The previous prime is 322321314112001. The next prime is 322321314112129. The reversal of 322321314112032 is 230211413123223.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018477944 + ... + 4018558152.

It is an arithmetic number, because the mean of its divisors is an integer number (4696350684480).

Almost surely, 2^{322321314112032} is an apocalyptic number.

322321314112032 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 322321314112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450849665710080).

322321314112032 is an abundant number, since it is smaller than the sum of its proper divisors (579378017308128).

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

322321314112032 is a wasteful number, since it uses less digits than its factorization.

322321314112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119015 (or 119007 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 322321314112032 its reverse (230211413123223), we get a palindrome (552532727235255).

The spelling of 322321314112032 in words is "three hundred twenty-two trillion, three hundred twenty-one billion, three hundred fourteen million, one hundred twelve thousand, thirty-two".