1697366008900 has 81 divisors (see below), whose sum is σ = 3887911306839. Its totient is φ = 643118578560.

The previous prime is 1697366008841. The next prime is 1697366008901. The reversal of 1697366008900 is 98006637961.

The square root of 1697366008900 is 1302830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 944344707076 + 753021301824 = 971774^2 + 867768^2 .

It is a super-2 number, since 2×1697366008900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1697366008901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 247534272 + ... + 247541128.

Almost surely, 2^{1697366008900} is an apocalyptic number.

1697366008900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1697366008900 is the 1302830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1697366008900

1697366008900 is an abundant number, since it is smaller than the sum of its proper divisors (2190545297939).

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

1697366008900 is an frugal number, since it uses more digits than its factorization.

1697366008900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13766 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 1697366008900 in words is "one trillion, six hundred ninety-seven billion, three hundred sixty-six million, eight thousand, nine hundred".