1686613761144 has 192 divisors, whose sum is σ = 4953882111360. Its totient is φ = 515314586880.

The previous prime is 1686613761143. The next prime is 1686613761167. The reversal of 1686613761144 is 4411673166861.

It is a happy number.

1686613761144 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 6 + 13 + 7 + 611 + 4 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1686613761143) 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 47 ways as a sum of consecutive naturals, for example, 196961007 + ... + 196969569.

It is an arithmetic number, because the mean of its divisors is an integer number (25801469330).

Almost surely, 2^{1686613761144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1686613761144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476941055680).

1686613761144 is an abundant number, since it is smaller than the sum of its proper divisors (3267268350216).

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

1686613761144 is a wasteful number, since it uses less digits than its factorization.

1686613761144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10035 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 1686613761144 in words is "one trillion, six hundred eighty-six billion, six hundred thirteen million, seven hundred sixty-one thousand, one hundred forty-four".