1688693742645 has 192 divisors, whose sum is σ = 3414582501120. Its totient is φ = 706350661632.

The previous prime is 1688693742601. The next prime is 1688693742691. The reversal of 1688693742645 is 5462473968861.

It is not a de Polignac number, because 1688693742645 - 2⁶ = 1688693742581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1688693742645.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 603750387 + ... + 603753183.

It is an arithmetic number, because the mean of its divisors is an integer number (17784283860).

Almost surely, 2^{1688693742645} is an apocalyptic number.

1688693742645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1688693742645 is an abundant number, since it is smaller than the sum of its proper divisors (1725888758475).

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

1688693742645 is a wasteful number, since it uses less digits than its factorization.

1688693742645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3364 (or 3357 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 69.

The spelling of 1688693742645 in words is "one trillion, six hundred eighty-eight billion, six hundred ninety-three million, seven hundred forty-two thousand, six hundred forty-five".