11205402946209 has 12 divisors (see below), whose sum is σ = 17137675094436. Its totient is φ = 7030841064192.

The previous prime is 11205402946187. The next prime is 11205402946211. The reversal of 11205402946209 is 90264920450211.

11205402946209 is a `hidden beast` number, since 1 + 1 + 20 + 540 + 29 + 4 + 62 + 0 + 9 = 666.

11205402946209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9933181373025 + 1272221573184 = 3151695^2 + 1127928^2 .

It is not a de Polignac number, because 11205402946209 - 2¹³ = 11205402938017 is a prime.

It is a super-2 number, since 2×11205402946209² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11205402946279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36618963724 + ... + 36618964029.

It is an arithmetic number, because the mean of its divisors is an integer number (1428139591203).

Almost surely, 2^{11205402946209} is an apocalyptic number.

It is an amenable number.

11205402946209 is a deficient number, since it is larger than the sum of its proper divisors (5932272148227).

11205402946209 is a wasteful number, since it uses less digits than its factorization.

11205402946209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73237927776 (or 73237927773 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11205402946209 in words is "eleven trillion, two hundred five billion, four hundred two million, nine hundred forty-six thousand, two hundred nine".