1983126168 has 48 divisors (see below), whose sum is σ = 5377221720. Its totient is φ = 660272256.

The previous prime is 1983126149. The next prime is 1983126191. The reversal of 1983126168 is 8616213891.

1983126168 is a `hidden beast` number, since 19 + 8 + 3 + 12 + 616 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47980 + ... + 79172.

Almost surely, 2^1983126168 is an apocalyptic number.

1983126168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1983126168 is an abundant number, since it is smaller than the sum of its proper divisors (3394095552).

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

1983126168 is a wasteful number, since it uses less digits than its factorization.

1983126168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32088 (or 32081 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1983126168 is about 44532.3047685610. The cubic root of 1983126168 is about 1256.3677554428.

It can be divided in two parts, 198312 and 6168, that added together give a triangular number (204480 = T₆₃₉).

The spelling of 1983126168 in words is "one billion, nine hundred eighty-three million, one hundred twenty-six thousand, one hundred sixty-eight".