1663852329216 has 729 divisors, whose sum is σ = 6151595574033. Its totient is φ = 430931128320.

The previous prime is 1663852329187. The next prime is 1663852329233. The reversal of 1663852329216 is 6129232583661.

It is a happy number.

The square root of 1663852329216 is 1289904.

It is a perfect power (a square), and thus also a powerful number.

1663852329216 is a `hidden beast` number, since 1 + 6 + 6 + 385 + 23 + 29 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1221254850816 + 442597478400 = 1105104^2 + 665280^2 .

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 80 ways as a sum of consecutive naturals, for example, 4767485010 + ... + 4767485358.

Almost surely, 2^{1663852329216} is an apocalyptic number.

1663852329216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1663852329216 is the 1289904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1663852329216

1663852329216 is an abundant number, since it is smaller than the sum of its proper divisors (4487743244817).

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

1663852329216 is an equidigital number, since it uses as much as digits as its factorization.

1663852329216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 372 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 1663852329216 in words is "one trillion, six hundred sixty-three billion, eight hundred fifty-two million, three hundred twenty-nine thousand, two hundred sixteen".