1659994646688 has 144 divisors (see below), whose sum is σ = 5396186315520. Its totient is φ = 474178364928.

The previous prime is 1659994646659. The next prime is 1659994646729. The reversal of 1659994646688 is 8866464999561.

1659994646688 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 99 + 464 + 6 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1659994646688³ (a number of 38 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9177993 + ... + 9357111.

It is an arithmetic number, because the mean of its divisors is an integer number (37473516080).

Almost surely, 2^{1659994646688} is an apocalyptic number.

1659994646688 is a gapful number since it is divisible by the number (18) 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 1659994646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698093157760).

1659994646688 is an abundant number, since it is smaller than the sum of its proper divisors (3736191668832).

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

1659994646688 is a wasteful number, since it uses less digits than its factorization.

1659994646688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183739 (or 183728 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

The spelling of 1659994646688 in words is "one trillion, six hundred fifty-nine billion, nine hundred ninety-four million, six hundred forty-six thousand, six hundred eighty-eight".