11533841614801 has 27 divisors (see below), whose sum is σ = 12825437345553. Its totient is φ = 10364509467840.

The previous prime is 11533841614781. The next prime is 11533841614819. The reversal of 11533841614801 is 10841614833511.

The square root of 11533841614801 is 3396151.

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 7619537643201 + 3914303971600 = 2760351^2 + 1978460^2 .

It is not a de Polignac number, because 11533841614801 - 2¹⁵ = 11533841582033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11533841615801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3324830095 + ... + 3324833563.

Almost surely, 2^{11533841614801} is an apocalyptic number.

11533841614801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11533841614801 is the 3396151-st square number.

11533841614801 is the 1698076-th centered octagonal number.

It is an amenable number.

11533841614801 is a deficient number, since it is larger than the sum of its proper divisors (1291595730752).

11533841614801 is an frugal number, since it uses more digits than its factorization.

11533841614801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 11533841614801 in words is "eleven trillion, five hundred thirty-three billion, eight hundred forty-one million, six hundred fourteen thousand, eight hundred one".