1983138609216 has 224 divisors, whose sum is σ = 5499677380608. Its totient is φ = 629484134400.

The previous prime is 1983138609203. The next prime is 1983138609227. The reversal of 1983138609216 is 6129068313891.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1393631481 + ... + 1393632903.

Almost surely, 2^{1983138609216} is an apocalyptic number.

1983138609216 is a gapful number since it is divisible by the number (16) 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 1983138609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2749838690304).

1983138609216 is an abundant number, since it is smaller than the sum of its proper divisors (3516538771392).

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

1983138609216 is a wasteful number, since it uses less digits than its factorization.

1983138609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 1983138609216 in words is "one trillion, nine hundred eighty-three billion, one hundred thirty-eight million, six hundred nine thousand, two hundred sixteen".