1683243859968 has 544 divisors, whose sum is σ = 5761923102720. Its totient is φ = 479975178240.

The previous prime is 1683243859963. The next prime is 1683243860009. The reversal of 1683243859968 is 8699583423861.

It is a happy number.

1683243859968 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 24 + 3 + 8 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

It is a super-2 number, since 2×1683243859968² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (537477120) is a multiple of the sum of its prime divisors (5120).

It is a junction number, because it is equal to n+sod(n) for n = 1683243859896 and 1683243859905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683243859963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330888721 + ... + 330893807.

Almost surely, 2^{1683243859968} is an apocalyptic number.

1683243859968 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 1683243859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880961551360).

1683243859968 is an abundant number, since it is smaller than the sum of its proper divisors (4078679242752).

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

1683243859968 is an equidigital number, since it uses as much as digits as its factorization.

1683243859968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5120 counting only the distinct ones).

The product of its digits is 537477120, while the sum is 72.

The spelling of 1683243859968 in words is "one trillion, six hundred eighty-three billion, two hundred forty-three million, eight hundred fifty-nine thousand, nine hundred sixty-eight".