1688272002144 has 2304 divisors, whose sum is σ = 6842174976000. Its totient is φ = 405580234752.

The previous prime is 1688272002127. The next prime is 1688272002149. The reversal of 1688272002144 is 4412002728861.

1688272002144 is a `hidden beast` number, since 168 + 8 + 272 + 0 + 0 + 214 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1688272002144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688272002149) 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 383 ways as a sum of consecutive naturals, for example, 23127013692 + ... + 23127013764.

It is an arithmetic number, because the mean of its divisors is an integer number (2969694000).

Almost surely, 2^{1688272002144} is an apocalyptic number.

1688272002144 is a gapful number since it is divisible by the number (14) 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 1688272002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3421087488000).

1688272002144 is an abundant number, since it is smaller than the sum of its proper divisors (5153902973856).

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

1688272002144 is a wasteful number, since it uses less digits than its factorization.

1688272002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1688272002144 in words is "one trillion, six hundred eighty-eight billion, two hundred seventy-two million, two thousand, one hundred forty-four".