1982346729160 has 64 divisors (see below), whose sum is σ = 5144228812800. Its totient is φ = 673426296576.

The previous prime is 1982346729133. The next prime is 1982346729179. The reversal of 1982346729160 is 619276432891.

It is a super-2 number, since 2×1982346729160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1982346729095 and 1982346729104.

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 15 ways as a sum of consecutive naturals, for example, 32445672 + ... + 32506711.

It is an arithmetic number, because the mean of its divisors is an integer number (80378575200).

Almost surely, 2^{1982346729160} is an apocalyptic number.

1982346729160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982346729160 is an abundant number, since it is smaller than the sum of its proper divisors (3161882083640).

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

1982346729160 is a wasteful number, since it uses less digits than its factorization.

1982346729160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64952510 (or 64952506 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 1982346729160 in words is "one trillion, nine hundred eighty-two billion, three hundred forty-six million, seven hundred twenty-nine thousand, one hundred sixty".