321414332331312 has 240 divisors, whose sum is σ = 1013033117730816. Its totient is φ = 94247936640000.

The previous prime is 321414332331307. The next prime is 321414332331317. The reversal of 321414332331312 is 213133233414123.

321414332331312 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 1 + 4 + 3 + 3 + 2 + 331 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (321414332331307) and next prime (321414332331317).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (321414332331317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557189437 + ... + 557765987.

Almost surely, 2^{321414332331312} 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 321414332331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506516558865408).

321414332331312 is an abundant number, since it is smaller than the sum of its proper divisors (691618785399504).

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

321414332331312 is a wasteful number, since it uses less digits than its factorization.

321414332331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587960 (or 587951 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 321414332331312 its reverse (213133233414123), we get a palindrome (534547565745435).

The spelling of 321414332331312 in words is "three hundred twenty-one trillion, four hundred fourteen billion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred twelve".