1648200066336 has 72 divisors (see below), whose sum is σ = 4687420767120. Its totient is φ = 549358782336.

The previous prime is 1648200066319. The next prime is 1648200066367. The reversal of 1648200066336 is 6336600028461.

1648200066336 is a `hidden beast` number, since 1 + 6 + 4 + 8 + 2 + 0 + 0 + 0 + 6 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 1648200066291 and 1648200066300.

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 11 ways as a sum of consecutive naturals, for example, 3755835 + ... + 4171653.

It is an arithmetic number, because the mean of its divisors is an integer number (65103066210).

Almost surely, 2^{1648200066336} is an apocalyptic number.

1648200066336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1648200066336 is an abundant number, since it is smaller than the sum of its proper divisors (3039220700784).

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

1648200066336 is a wasteful number, since it uses less digits than its factorization.

1648200066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429598 (or 429587 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1648200066336 in words is "one trillion, six hundred forty-eight billion, two hundred million, sixty-six thousand, three hundred thirty-six".