11205644541 has 48 divisors (see below), whose sum is σ = 18547591680. Its totient is φ = 5892194880.

The previous prime is 11205644539. The next prime is 11205644579. The reversal of 11205644541 is 14544650211.

It is not a de Polignac number, because 11205644541 - 2¹ = 11205644539 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205644141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169950 + ... + 1179488.

It is an arithmetic number, because the mean of its divisors is an integer number (386408160).

Almost surely, 2^11205644541 is an apocalyptic number.

It is an amenable number.

11205644541 is a deficient number, since it is larger than the sum of its proper divisors (7341947139).

11205644541 is a wasteful number, since it uses less digits than its factorization.

11205644541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 11205644541 in words is "eleven billion, two hundred five million, six hundred forty-four thousand, five hundred forty-one".