1688097335824 has 45 divisors (see below), whose sum is σ = 3342241938511. Its totient is φ = 825970652960.

The previous prime is 1688097335807. The next prime is 1688097335863. The reversal of 1688097335824 is 4285337908861.

The square root of 1688097335824 is 1299268.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 244258929 + ... + 244265839.

It is a 1-persistent number, because it is pandigital, but 2⋅1688097335824 = 3376194671648 is not.

Almost surely, 2^{1688097335824} is an apocalyptic number.

1688097335824 is the 1299268-th square number.

It is an amenable number.

1688097335824 is a deficient number, since it is larger than the sum of its proper divisors (1654144602687).

1688097335824 is an frugal number, since it uses more digits than its factorization.

1688097335824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13924 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

Multiplying 1688097335824 by its sum of digits (64), we get a square (108038229492736 = 10394144²).

The spelling of 1688097335824 in words is "one trillion, six hundred eighty-eight billion, ninety-seven million, three hundred thirty-five thousand, eight hundred twenty-four".