11234824681921 has 27 divisors (see below), whose sum is σ = 12109392207337. Its totient is φ = 10421269671680.

The previous prime is 11234824681919. The next prime is 11234824681973. The reversal of 11234824681921 is 12918642843211.

It is a happy number.

The square root of 11234824681921 is 3351839.

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

It can be written as a sum of positive squares in 4 ways, for example, as 80293456321 + 11154531225600 = 283361^2 + 3339840^2 .

It is not a de Polignac number, because 11234824681921 - 2¹ = 11234824681919 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11234824681321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4045668285 + ... + 4045671061.

Almost surely, 2^{11234824681921} is an apocalyptic number.

11234824681921 is the 3351839-th square number.

11234824681921 is the 1675920-th centered octagonal number.

It is an amenable number.

11234824681921 is a deficient number, since it is larger than the sum of its proper divisors (874567525416).

11234824681921 is an frugal number, since it uses more digits than its factorization.

11234824681921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5730 (or 2865 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The spelling of 11234824681921 in words is "eleven trillion, two hundred thirty-four billion, eight hundred twenty-four million, six hundred eighty-one thousand, nine hundred twenty-one".