1683435816216 has 1728 divisors, whose sum is σ = 6737477292000. Its totient is φ = 375537254400.

The previous prime is 1683435816203. The next prime is 1683435816221. The reversal of 1683435816216 is 6126185343861.

It is a happy number.

1683435816216 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 4 + 3 + 5 + 8 + 1 + 621 + 6 = 666.

It is a super-2 number, since 2×1683435816216² (a number of 25 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 3998659686 + ... + 3998660106.

Almost surely, 2^{1683435816216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683435816216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368738646000).

1683435816216 is an abundant number, since it is smaller than the sum of its proper divisors (5054041475784).

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

1683435816216 is a wasteful number, since it uses less digits than its factorization.

1683435816216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 509 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 1683435816216 in words is "one trillion, six hundred eighty-three billion, four hundred thirty-five million, eight hundred sixteen thousand, two hundred sixteen".