1963341823249 has 27 divisors (see below), whose sum is σ = 2146874536443. Its totient is φ = 1795163633424.

The previous prime is 1963341823217. The next prime is 1963341823271. The reversal of 1963341823249 is 9423281433691.

It is a happy number.

The square root of 1963341823249 is 1401193.

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

It can be written as a sum of positive squares in only one way, i.e., 1029528827649 + 933812995600 = 1014657^2 + 966340^2 .

It is not a de Polignac number, because 1963341823249 - 2⁵ = 1963341823217 is a prime.

It is a super-2 number, since 2×1963341823249² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1963341823249.

It is not an unprimeable number, because it can be changed into a prime (1963341823349) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 772056072 + ... + 772058614.

Almost surely, 2^{1963341823249} is an apocalyptic number.

1963341823249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1963341823249 is the 1401193-rd square number.

1963341823249 is the 700597-th centered octagonal number.

It is an amenable number.

1963341823249 is a deficient number, since it is larger than the sum of its proper divisors (183532713194).

1963341823249 is an frugal number, since it uses more digits than its factorization.

1963341823249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 2591 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 55.

The spelling of 1963341823249 in words is "one trillion, nine hundred sixty-three billion, three hundred forty-one million, eight hundred twenty-three thousand, two hundred forty-nine".