323321000114112 has 896 divisors, whose sum is σ = 1210143727779840. Its totient is φ = 73372050063360.

The previous prime is 323321000114081. The next prime is 323321000114117. The reversal of 323321000114112 is 211411000123323.

It is a super-2 number, since 2×323321000114112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323321000114117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4027727608 + ... + 4027807880.

It is an arithmetic number, because the mean of its divisors is an integer number (1350606839040).

Almost surely, 2^{323321000114112} is an apocalyptic number.

323321000114112 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 323321000114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605071863889920).

323321000114112 is an abundant number, since it is smaller than the sum of its proper divisors (886822727665728).

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

323321000114112 is a wasteful number, since it uses less digits than its factorization.

323321000114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81441 (or 81431 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 323321000114112 its reverse (211411000123323), we get a palindrome (534732000237435).

The spelling of 323321000114112 in words is "three hundred twenty-three trillion, three hundred twenty-one billion, one hundred fourteen thousand, one hundred twelve".