1685020038345 has 96 divisors (see below), whose sum is σ = 3534982843392. Its totient is φ = 724842141696.

The previous prime is 1685020038307. The next prime is 1685020038347. The reversal of 1685020038345 is 5438300205861.

1685020038345 is a `hidden beast` number, since 1 + 68 + 5 + 0 + 200 + 383 + 4 + 5 = 666.

It is not a de Polignac number, because 1685020038345 - 2¹⁰ = 1685020037321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1685020038345.

It is not an unprimeable number, because it can be changed into a prime (1685020038347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30243984 + ... + 30299646.

It is an arithmetic number, because the mean of its divisors is an integer number (36822737952).

Almost surely, 2^{1685020038345} is an apocalyptic number.

1685020038345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1685020038345 is an abundant number, since it is smaller than the sum of its proper divisors (1849962805047).

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

1685020038345 is a wasteful number, since it uses less digits than its factorization.

1685020038345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61351 (or 61348 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1685020038345 in words is "one trillion, six hundred eighty-five billion, twenty million, thirty-eight thousand, three hundred forty-five".