1983659400805 has 16 divisors (see below), whose sum is σ = 2438500338288. Its totient is φ = 1548189760000.

The previous prime is 1983659400797. The next prime is 1983659400823. The reversal of 1983659400805 is 5080049563891.

It can be written as a sum of positive squares in 8 ways, for example, as 150995970724 + 1832663430081 = 388582^2 + 1353759^2 .

It is not a de Polignac number, because 1983659400805 - 2³ = 1983659400797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1983659400805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16195695 + ... + 16317715.

It is an arithmetic number, because the mean of its divisors is an integer number (152406271143).

Almost surely, 2^{1983659400805} is an apocalyptic number.

It is an amenable number.

1983659400805 is a deficient number, since it is larger than the sum of its proper divisors (454840937483).

1983659400805 is a wasteful number, since it uses less digits than its factorization.

1983659400805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201368.

The product of its (nonzero) digits is 9331200, while the sum is 58.

The spelling of 1983659400805 in words is "one trillion, nine hundred eighty-three billion, six hundred fifty-nine million, four hundred thousand, eight hundred five".