1323663016896 has 672 divisors, whose sum is σ = 4386449074176. Its totient is φ = 380874700800.

The previous prime is 1323663016843. The next prime is 1323663016913. The reversal of 1323663016896 is 6986103663231.

1323663016896 is a `hidden beast` number, since 1 + 3 + 2 + 366 + 30 + 168 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4778566710 + ... + 4778566986.

Almost surely, 2^{1323663016896} is an apocalyptic number.

1323663016896 is a gapful number since it is divisible by the number (16) 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 1323663016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193224537088).

1323663016896 is an abundant number, since it is smaller than the sum of its proper divisors (3062786057280).

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

1323663016896 is a wasteful number, since it uses less digits than its factorization.

1323663016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

It can be divided in two parts, 13236630 and 16896, that added together give a triangular number (13253526 = T₅₁₄₈).

The spelling of 1323663016896 in words is "one trillion, three hundred twenty-three billion, six hundred sixty-three million, sixteen thousand, eight hundred ninety-six".