1983808512 has 396 divisors, whose sum is σ = 6989538816. Its totient is φ = 539320320.

The previous prime is 1983808459. The next prime is 1983808517. The reversal of 1983808512 is 2158083891.

It is a happy number.

1983808512 is a `hidden beast` number, since 198 + 380 + 85 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1983808517) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10386337 + ... + 10386527.

Almost surely, 2^1983808512 is an apocalyptic number.

1983808512 is a gapful number since it is divisible by the number (12) 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 1983808512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494769408).

1983808512 is an abundant number, since it is smaller than the sum of its proper divisors (5005730304).

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

1983808512 is a wasteful number, since it uses less digits than its factorization.

1983808512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1983808512 is about 44539.9653345173. The cubic root of 1983808512 is about 1256.5118338025.

The spelling of 1983808512 in words is "one billion, nine hundred eighty-three million, eight hundred eight thousand, five hundred twelve".