11405353212 has 144 divisors (see below), whose sum is σ = 33412579200. Its totient is φ = 3243991680.

The previous prime is 11405353187. The next prime is 11405353213. The reversal of 11405353212 is 21235350411.

11405353212 is a `hidden beast` number, since 11 + 405 + 35 + 3 + 212 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405353213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813163 + ... + 827069.

It is an arithmetic number, because the mean of its divisors is an integer number (232031800).

Almost surely, 2^11405353212 is an apocalyptic number.

11405353212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405353212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706289600).

11405353212 is an abundant number, since it is smaller than the sum of its proper divisors (22007225988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11405353212 is a wasteful number, since it uses less digits than its factorization.

11405353212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14051 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11405353212 in words is "eleven billion, four hundred five million, three hundred fifty-three thousand, two hundred twelve".