322253852112 has 240 divisors, whose sum is σ = 958538292480. Its totient is φ = 103654080000.

The previous prime is 322253852101. The next prime is 322253852153. The reversal of 322253852112 is 211258352223.

322253852112 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 538 + 5 + 2 + 112 = 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178929612 + ... + 178931412.

It is an arithmetic number, because the mean of its divisors is an integer number (3993909552).

Almost surely, 2^322253852112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322253852112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479269146240).

322253852112 is an abundant number, since it is smaller than the sum of its proper divisors (636284440368).

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

322253852112 is a wasteful number, since it uses less digits than its factorization.

322253852112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2268 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 322253852112 in words is "three hundred twenty-two billion, two hundred fifty-three million, eight hundred fifty-two thousand, one hundred twelve".