1682163044352 has 546 divisors, whose sum is σ = 5867515531518. Its totient is φ = 480576208896.

The previous prime is 1682163044339. The next prime is 1682163044369. The reversal of 1682163044352 is 2534403612861.

1682163044352 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 1 + 630 + 4 + 4 + 3 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1492541116416 + 189621927936 = 1221696^2 + 435456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1682163044298 and 1682163044307.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 146307468 + ... + 146318964.

Almost surely, 2^{1682163044352} is an apocalyptic number.

1682163044352 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 1682163044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933757765759).

1682163044352 is an abundant number, since it is smaller than the sum of its proper divisors (4185352487166).

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

1682163044352 is an frugal number, since it uses more digits than its factorization.

1682163044352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11553 (or 11509 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1682163044352 in words is "one trillion, six hundred eighty-two billion, one hundred sixty-three million, forty-four thousand, three hundred fifty-two".