11453682780241 has 81 divisors (see below), whose sum is σ = 13193111786673. Its totient is φ = 9938555914560.

The previous prime is 11453682780227. The next prime is 11453682780247. The reversal of 11453682780241 is 14208728635411.

The square root of 11453682780241 is 3384329.

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 1468689491025 + 9984993289216 = 1211895^2 + 3159904^2 .

It is not a de Polignac number, because 11453682780241 - 2²¹ = 11453680683089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11453682780247) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 59966925456 + ... + 59966925646.

Almost surely, 2^{11453682780241} is an apocalyptic number.

11453682780241 is the 3384329-th square number.

11453682780241 is the 1692165-th centered octagonal number.

It is an amenable number.

11453682780241 is a deficient number, since it is larger than the sum of its proper divisors (1739429006432).

11453682780241 is an frugal number, since it uses more digits than its factorization.

11453682780241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 11453682780241 in words is "eleven trillion, four hundred fifty-three billion, six hundred eighty-two million, seven hundred eighty thousand, two hundred forty-one".