1690000000000 has 363 divisors, whose sum is σ = 4572766019631. Its totient is φ = 624000000000.

The previous prime is 1689999999937. The next prime is 1690000000057. The reversal of 1690000000000 is 961.

The square root of 1690000000000 is 1300000.

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

It can be written as a sum of positive squares in 16 ways, for example, as 1342409573376 + 347590426624 = 1158624^2 + 589568^2 .

It is a super-2 number, since 2×1690000000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian 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 32 ways as a sum of consecutive naturals, for example, 129999999994 + ... + 130000000006.

Almost surely, 2^{1690000000000} is an apocalyptic number.

1690000000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1690000000000 is the 1300000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690000000000

1690000000000 is an abundant number, since it is smaller than the sum of its proper divisors (2882766019631).

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

1690000000000 is an frugal number, since it uses more digits than its factorization.

1690000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Multiplying 1690000000000 by its sum of digits (16), we get a square (27040000000000 = 5200000²).

1690000000000 divided by its sum of digits (16) gives a square (105625000000 = 325000²).

Adding to 1690000000000 its reverse (961), we get a palindrome (1690000000961).

It can be divided in two parts, 16 and 90000000000, that multiplied together give a square (1440000000000 = 1200000²).

The spelling of 1690000000000 in words is "one trillion, six hundred ninety billion", and thus it is an aban number.