1909263461121 has 15 divisors (see below), whose sum is σ = 2852128191891. Its totient is φ = 1272834016848.

The previous prime is 1909263461111. The next prime is 1909263461141. The reversal of 1909263461121 is 1211643629091.

The square root of 1909263461121 is 1381761.

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

1909263461121 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 2 + 6 + 3 + 4 + 611 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1260143198721 + 649120262400 = 1122561^2 + 805680^2 .

It is not a de Polignac number, because 1909263461121 - 2⁵ = 1909263461089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1909263461111) 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 14 ways as a sum of consecutive naturals, for example, 12359085 + ... + 12512613.

Almost surely, 2^{1909263461121} is an apocalyptic number.

1909263461121 is the 1381761-st square number.

1909263461121 is the 690881-st centered octagonal number.

It is an amenable number.

1909263461121 is a deficient number, since it is larger than the sum of its proper divisors (942864730770).

1909263461121 is an frugal number, since it uses more digits than its factorization.

1909263461121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307070 (or 153532 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1909263461121 in words is "one trillion, nine hundred nine billion, two hundred sixty-three million, four hundred sixty-one thousand, one hundred twenty-one".