1982689464768 has 56 divisors (see below), whose sum is σ = 5246086932240. Its totient is φ = 660868638720.

The previous prime is 1982689464761. The next prime is 1982689464817. The reversal of 1982689464768 is 8674649862891.

It is a junction number, because it is equal to n+sod(n) for n = 1982689464693 and 1982689464702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982689464761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4631308 + ... + 5041268.

It is an arithmetic number, because the mean of its divisors is an integer number (93680123790).

Almost surely, 2^{1982689464768} is an apocalyptic number.

It is an amenable number.

1982689464768 is an abundant number, since it is smaller than the sum of its proper divisors (3263397467472).

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

1982689464768 is a wasteful number, since it uses less digits than its factorization.

1982689464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435165 (or 435155 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 78.

The spelling of 1982689464768 in words is "one trillion, nine hundred eighty-two billion, six hundred eighty-nine million, four hundred sixty-four thousand, seven hundred sixty-eight".