1688386006908 has 72 divisors (see below), whose sum is σ = 4277368368000. Its totient is φ = 561542608800.

The previous prime is 1688386006907. The next prime is 1688386006969. The reversal of 1688386006908 is 8096006838861.

1688386006908 is a `hidden beast` number, since 16 + 8 + 8 + 3 + 8 + 600 + 6 + 9 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1688386006907) 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, 117674991 + ... + 117689337.

It is an arithmetic number, because the mean of its divisors is an integer number (59407894000).

Almost surely, 2^{1688386006908} is an apocalyptic number.

1688386006908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1688386006908 is an abundant number, since it is smaller than the sum of its proper divisors (2588982361092).

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

1688386006908 is a wasteful number, since it uses less digits than its factorization.

1688386006908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21407 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1688386006908 in words is "one trillion, six hundred eighty-eight billion, three hundred eighty-six million, six thousand, nine hundred eight".