11809386241 has 9 divisors (see below), whose sum is σ = 11882756739. Its totient is φ = 11736468000.

The previous prime is 11809386223. The next prime is 11809386287. The reversal of 11809386241 is 14268390811.

The square root of 11809386241 is 108671.

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., 11691880641 + 117505600 = 108129^2 + 10840^2 .

It is not a de Polignac number, because 11809386241 - 2⁹ = 11809385729 is a prime.

It is a super-2 number, since 2×11809386241² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11809386341) 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, 29449641 + ... + 29450041.

Almost surely, 2^11809386241 is an apocalyptic number.

11809386241 is the 108671-st square number.

11809386241 is the 54336-th centered octagonal number.

It is an amenable number.

11809386241 is a deficient number, since it is larger than the sum of its proper divisors (73370498).

11809386241 is an frugal number, since it uses more digits than its factorization.

11809386241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

Multiplying 11809386241 by its product of nonzero digits (82944), we get a square (979517732373504 = 31297248²).

The spelling of 11809386241 in words is "eleven billion, eight hundred nine million, three hundred eighty-six thousand, two hundred forty-one".