1690249609216 has 135 divisors (see below), whose sum is σ = 3935009378307. Its totient is φ = 723893452800.

The previous prime is 1690249609201. The next prime is 1690249609253. The reversal of 1690249609216 is 6129069420961.

The square root of 1690249609216 is 1300096.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1164885291 + ... + 1164886741.

Almost surely, 2^{1690249609216} is an apocalyptic number.

1690249609216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1690249609216 is the 1300096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1690249609216

1690249609216 is an abundant number, since it is smaller than the sum of its proper divisors (2244759769091).

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

1690249609216 is an frugal number, since it uses more digits than its factorization.

1690249609216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 55.

The spelling of 1690249609216 in words is "one trillion, six hundred ninety billion, two hundred forty-nine million, six hundred nine thousand, two hundred sixteen".