1688416085002 has 16 divisors (see below), whose sum is σ = 2594623534272. Its totient is φ = 823545194080.

The previous prime is 1688416084981. The next prime is 1688416085033. The reversal of 1688416085002 is 2005806148861.

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 7 ways as a sum of consecutive naturals, for example, 39273 + ... + 1838035.

It is an arithmetic number, because the mean of its divisors is an integer number (162163970892).

Almost surely, 2^{1688416085002} is an apocalyptic number.

1688416085002 is a deficient number, since it is larger than the sum of its proper divisors (906207449270).

1688416085002 is a wasteful number, since it uses less digits than its factorization.

1688416085002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810253.

The product of its (nonzero) digits is 737280, while the sum is 49.

The spelling of 1688416085002 in words is "one trillion, six hundred eighty-eight billion, four hundred sixteen million, eighty-five thousand, two".