11240268727801 has 9 divisors (see below), whose sum is σ = 11484672779311. Its totient is φ = 11000959852072.

The previous prime is 11240268727799. The next prime is 11240268727847. The reversal of 11240268727801 is 10872786204211.

It is a happy number.

The square root of 11240268727801 is 3352651.

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

It can be written as a sum of positive squares in only one way, i.e., 4632675093225 + 6607593634576 = 2152365^2 + 2570524^2 .

It is not a de Polignac number, because 11240268727801 - 2¹ = 11240268727799 is a prime.

It is a super-2 number, since 2×11240268727801² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11240268727861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157538931 + ... + 157610263.

Almost surely, 2^{11240268727801} is an apocalyptic number.

11240268727801 is the 3352651-st square number.

11240268727801 is the 1676326-th centered octagonal number.

It is an amenable number.

11240268727801 is a deficient number, since it is larger than the sum of its proper divisors (244404051510).

11240268727801 is an frugal number, since it uses more digits than its factorization.

11240268727801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142760 (or 71380 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

Multiplying 11240268727801 by its sum of digits (49), we get a square (550773167662249 = 23468557²).

The spelling of 11240268727801 in words is "eleven trillion, two hundred forty billion, two hundred sixty-eight million, seven hundred twenty-seven thousand, eight hundred one".