1682142518385 has 192 divisors, whose sum is σ = 3674319667200. Its totient is φ = 720702323712.

The previous prime is 1682142518333. The next prime is 1682142518417. The reversal of 1682142518385 is 5838152412861.

1682142518385 is a `hidden beast` number, since 1 + 6 + 8 + 2 + 1 + 4 + 251 + 8 + 385 = 666.

It is not a de Polignac number, because 1682142518385 - 2³⁴ = 1664962649201 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34531476 + ... + 34580154.

It is an arithmetic number, because the mean of its divisors is an integer number (19137081600).

Almost surely, 2^{1682142518385} is an apocalyptic number.

1682142518385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1682142518385 is an abundant number, since it is smaller than the sum of its proper divisors (1992177148815).

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

1682142518385 is a wasteful number, since it uses less digits than its factorization.

1682142518385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48962 (or 48950 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 1682142518385 in words is "one trillion, six hundred eighty-two billion, one hundred forty-two million, five hundred eighteen thousand, three hundred eighty-five".