1686393365008 has 480 divisors, whose sum is σ = 3947453346816. Its totient is φ = 695844864000.

The previous prime is 1686393365003. The next prime is 1686393365149. The reversal of 1686393365008 is 8005633936861.

It is not an unprimeable number, because it can be changed into a prime (1686393365003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8737789360 + ... + 8737789552.

Almost surely, 2^{1686393365008} 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 1686393365008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973726673408).

1686393365008 is an abundant number, since it is smaller than the sum of its proper divisors (2261059981808).

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

1686393365008 is a wasteful number, since it uses less digits than its factorization.

1686393365008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 58.

The spelling of 1686393365008 in words is "one trillion, six hundred eighty-six billion, three hundred ninety-three million, three hundred sixty-five thousand, eight".