1688483432052 has 18 divisors (see below), whose sum is σ = 4268110897778. Its totient is φ = 562827810672.

The previous prime is 1688483432021. The next prime is 1688483432071. The reversal of 1688483432052 is 2502343848861.

1688483432052 is a `hidden beast` number, since 1 + 6 + 8 + 84 + 83 + 432 + 0 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1233352398096 + 455131033956 = 1110564^2 + 674634^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 self number, because there is not a number n which added to its sum of digits gives 1688483432052.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 23451158743 + ... + 23451158814.

Almost surely, 2^{1688483432052} is an apocalyptic number.

1688483432052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1688483432052 is an abundant number, since it is smaller than the sum of its proper divisors (2579627465726).

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

1688483432052 is a wasteful number, since it uses less digits than its factorization.

1688483432052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46902317567 (or 46902317562 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1688483432052 in words is "one trillion, six hundred eighty-eight billion, four hundred eighty-three million, four hundred thirty-two thousand, fifty-two".