321393242016 has 864 divisors, whose sum is σ = 1219430056320. Its totient is φ = 80609126400.

The previous prime is 321393241979. The next prime is 321393242033. The reversal of 321393242016 is 610242393123.

321393242016 is a `hidden beast` number, since 3 + 21 + 393 + 242 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 703267260 + ... + 703267716.

It is an arithmetic number, because the mean of its divisors is an integer number (1411377380).

Almost surely, 2^321393242016 is an apocalyptic number.

321393242016 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 321393242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609715028160).

321393242016 is an abundant number, since it is smaller than the sum of its proper divisors (898036814304).

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

321393242016 is a wasteful number, since it uses less digits than its factorization.

321393242016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 321393242016 in words is "three hundred twenty-one billion, three hundred ninety-three million, two hundred forty-two thousand, sixteen".