1983578112 has 272 divisors, whose sum is σ = 6291408000. Its totient is φ = 615776256.

The previous prime is 1983578101. The next prime is 1983578137. The reversal of 1983578112 is 2118753891.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33619939 + ... + 33619997.

Almost surely, 2^1983578112 is an apocalyptic number.

1983578112 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 1983578112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145704000).

1983578112 is an abundant number, since it is smaller than the sum of its proper divisors (4307829888).

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

1983578112 is an frugal number, since it uses more digits than its factorization.

1983578112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 1983578112 is about 44537.3788182466. The cubic root of 1983578112 is about 1256.4631880566.

The spelling of 1983578112 in words is "one billion, nine hundred eighty-three million, five hundred seventy-eight thousand, one hundred twelve".