1950891008049 has 9 divisors (see below), whose sum is σ = 2817959730859. Its totient is φ = 1300591211880.

The previous prime is 1950891008041. The next prime is 1950891008107. The reversal of 1950891008049 is 9408001980591.

The square root of 1950891008049 is 1396743.

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

1950891008049 is a `hidden beast` number, since 1 + 9 + 508 + 9 + 10 + 0 + 80 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 529120943649 + 1421770064400 = 727407^2 + 1192380^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1950891008049 - 2³ = 1950891008041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1950891007986 and 1950891008004.

It is not an unprimeable number, because it can be changed into a prime (1950891008041) 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 8 ways as a sum of consecutive naturals, for example, 3957439 + ... + 4423019.

Almost surely, 2^{1950891008049} is an apocalyptic number.

1950891008049 is the 1396743-rd square number.

1950891008049 is the 698372-nd centered octagonal number.

It is an amenable number.

1950891008049 is a deficient number, since it is larger than the sum of its proper divisors (867068722810).

1950891008049 is an frugal number, since it uses more digits than its factorization.

1950891008049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931168 (or 465584 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1950891008049 in words is "one trillion, nine hundred fifty billion, eight hundred ninety-one million, eight thousand, forty-nine".