322321143456 has 240 divisors, whose sum is σ = 1023091733664. Its totient is φ = 98958537216.

The previous prime is 322321143449. The next prime is 322321143461. The reversal of 322321143456 is 654341123223.

322321143456 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 211 + 434 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 322321143456.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15725791 + ... + 15746273.

Almost surely, 2^322321143456 is an apocalyptic number.

322321143456 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 322321143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511545866832).

322321143456 is an abundant number, since it is smaller than the sum of its proper divisors (700770590208).

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

322321143456 is a wasteful number, since it uses less digits than its factorization.

322321143456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20985 (or 20968 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

Adding to 322321143456 its reverse (654341123223), we get a palindrome (976662266679).

The spelling of 322321143456 in words is "three hundred twenty-two billion, three hundred twenty-one million, one hundred forty-three thousand, four hundred fifty-six".