321204114214344 has 24 divisors (see below), whose sum is σ = 869927809330710. Its totient is φ = 107068038071424.

The previous prime is 321204114214327. The next prime is 321204114214387. The reversal of 321204114214344 is 443412411402123.

321204114214344 is a `hidden beast` number, since 3 + 2 + 1 + 20 + 411 + 4 + 214 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301778392932900 + 19425721281444 = 17371770^2 + 4407462^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 321204114214299 and 321204114214308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2230584126417 + ... + 2230584126560.

Almost surely, 2^{321204114214344} is an apocalyptic number.

It is an amenable number.

321204114214344 is an abundant number, since it is smaller than the sum of its proper divisors (548723695116366).

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

321204114214344 is a wasteful number, since it uses less digits than its factorization.

321204114214344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461168252989 (or 4461168252982 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 321204114214344 its reverse (443412411402123), we get a palindrome (764616525616467).

The spelling of 321204114214344 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred fourteen million, two hundred fourteen thousand, three hundred forty-four".