1688414144256 has 216 divisors, whose sum is σ = 5566396093440. Its totient is φ = 482158061568.

The previous prime is 1688414144243. The next prime is 1688414144257. The reversal of 1688414144256 is 6524414148861.

1688414144256 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 4 + 141 + 442 + 56 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688414144257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32859321 + ... + 32910663.

Almost surely, 2^{1688414144256} is an apocalyptic number.

1688414144256 is a gapful number since it is divisible by the number (16) 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 1688414144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783198046720).

1688414144256 is an abundant number, since it is smaller than the sum of its proper divisors (3877981949184).

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

1688414144256 is a wasteful number, since it uses less digits than its factorization.

1688414144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53411 (or 53394 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 1688414144256 in words is "one trillion, six hundred eighty-eight billion, four hundred fourteen million, one hundred forty-four thousand, two hundred fifty-six".