323312561768448 has 576 divisors, whose sum is σ = 1172193202252800. Its totient is φ = 83708239380480.

The previous prime is 323312561768437. The next prime is 323312561768489. The reversal of 323312561768448 is 844867165213323.

323312561768448 is a `hidden beast` number, since 3 + 2 + 3 + 3 + 1 + 2 + 5 + 617 + 6 + 8 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53516403 + ... + 59250573.

It is an arithmetic number, because the mean of its divisors is an integer number (2035057642800).

Almost surely, 2^{323312561768448} is an apocalyptic number.

323312561768448 is a gapful number since it is divisible by the number (38) 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 323312561768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586096601126400).

323312561768448 is an abundant number, since it is smaller than the sum of its proper divisors (848880640484352).

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

323312561768448 is a wasteful number, since it uses less digits than its factorization.

323312561768448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734248 (or 5734225 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 323312561768448 in words is "three hundred twenty-three trillion, three hundred twelve billion, five hundred sixty-one million, seven hundred sixty-eight thousand, four hundred forty-eight".