321225604416 has 224 divisors, whose sum is σ = 965825856000. Its totient is φ = 104646057984.

The previous prime is 321225604409. The next prime is 321225604451. The reversal of 321225604416 is 614406522123.

321225604416 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 2 + 5 + 604 + 41 + 6 = 666.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 65701300 + ... + 65706188.

Almost surely, 2^321225604416 is an apocalyptic number.

321225604416 is a gapful number since it is divisible by the number (36) 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 321225604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482912928000).

321225604416 is an abundant number, since it is smaller than the sum of its proper divisors (644600251584).

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

321225604416 is a wasteful number, since it uses less digits than its factorization.

321225604416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5766 (or 5750 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 321225604416 in words is "three hundred twenty-one billion, two hundred twenty-five million, six hundred four thousand, four hundred sixteen".