11205916148 has 48 divisors (see below), whose sum is σ = 22979284608. Its totient is φ = 4681152000.

The previous prime is 11205916147. The next prime is 11205916201. The reversal of 11205916148 is 84161950211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205916147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478288 + ... + 1485848.

It is an arithmetic number, because the mean of its divisors is an integer number (478735096).

Almost surely, 2^11205916148 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 11205916148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11489642304).

11205916148 is an abundant number, since it is smaller than the sum of its proper divisors (11773368460).

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

11205916148 is a wasteful number, since it uses less digits than its factorization.

11205916148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The spelling of 11205916148 in words is "eleven billion, two hundred five million, nine hundred sixteen thousand, one hundred forty-eight".