321493790016 has 336 divisors, whose sum is σ = 1093495603200. Its totient is φ = 91742492160.

The previous prime is 321493789963. The next prime is 321493790017. The reversal of 321493790016 is 610097394123.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×321493790016³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321493790017) 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, 134010385 + ... + 134012783.

It is an arithmetic number, because the mean of its divisors is an integer number (3254451200).

Almost surely, 2^321493790016 is an apocalyptic number.

321493790016 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 321493790016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546747801600).

321493790016 is an abundant number, since it is smaller than the sum of its proper divisors (772001813184).

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

321493790016 is a wasteful number, since it uses less digits than its factorization.

321493790016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 321493790016 in words is "three hundred twenty-one billion, four hundred ninety-three million, seven hundred ninety thousand, sixteen".