1686064730112 has 936 divisors, whose sum is σ = 5938623355392. Its totient is φ = 476563046400.

The previous prime is 1686064730059. The next prime is 1686064730143. The reversal of 1686064730112 is 2110374606861.

1686064730112 is a `hidden beast` number, since 1 + 6 + 8 + 60 + 6 + 473 + 0 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8827563937 + ... + 8827564127.

It is an arithmetic number, because the mean of its divisors is an integer number (6344683072).

Almost surely, 2^{1686064730112} is an apocalyptic number.

1686064730112 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 1686064730112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969311677696).

1686064730112 is an abundant number, since it is smaller than the sum of its proper divisors (4252558625280).

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

1686064730112 is an equidigital number, since it uses as much as digits as its factorization.

1686064730112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1686064730112 in words is "one trillion, six hundred eighty-six billion, sixty-four million, seven hundred thirty thousand, one hundred twelve".