1685676146112 has 448 divisors, whose sum is σ = 5778978739200. Its totient is φ = 471830261760.

The previous prime is 1685676146101. The next prime is 1685676146117. The reversal of 1685676146112 is 2116416765861.

1685676146112 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 6 + 7 + 6 + 14 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685676146117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 550693062 + ... + 550696122.

Almost surely, 2^{1685676146112} is an apocalyptic number.

1685676146112 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 1685676146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889489369600).

1685676146112 is an abundant number, since it is smaller than the sum of its proper divisors (4093302593088).

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

1685676146112 is a wasteful number, since it uses less digits than its factorization.

1685676146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3985 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 1685676146112 in words is "one trillion, six hundred eighty-five billion, six hundred seventy-six million, one hundred forty-six thousand, one hundred twelve".