11206221416 has 64 divisors (see below), whose sum is σ = 22959417600. Its totient is φ = 5096602368.

The previous prime is 11206221409. The next prime is 11206221461. The reversal of 11206221416 is 61412260211.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5610530 + ... + 5612526.

It is an arithmetic number, because the mean of its divisors is an integer number (358740900).

Almost surely, 2^11206221416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11206221416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479708800).

11206221416 is an abundant number, since it is smaller than the sum of its proper divisors (11753196184).

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

11206221416 is a wasteful number, since it uses less digits than its factorization.

11206221416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 11206221416 its reverse (61412260211), we get a palindrome (72618481627).

The spelling of 11206221416 in words is "eleven billion, two hundred six million, two hundred twenty-one thousand, four hundred sixteen".