321943894272 has 2304 divisors, whose sum is σ = 1406533632000. Its totient is φ = 69872025600.

The previous prime is 321943894271. The next prime is 321943894343. The reversal of 321943894272 is 272498349123.

It is a happy number.

321943894272 is a `hidden beast` number, since 3 + 2 + 194 + 389 + 4 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (321943894271) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 4075239129 + ... + 4075239207.

Almost surely, 2^321943894272 is an apocalyptic number.

321943894272 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 321943894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703266816000).

321943894272 is an abundant number, since it is smaller than the sum of its proper divisors (1084589737728).

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

321943894272 is a wasteful number, since it uses less digits than its factorization.

321943894272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 321943894272 in words is "three hundred twenty-one billion, nine hundred forty-three million, eight hundred ninety-four thousand, two hundred seventy-two".