11145220032 has 112 divisors (see below), whose sum is σ = 32390242560. Its totient is φ = 3366494208.

The previous prime is 11145220003. The next prime is 11145220033. The reversal of 11145220032 is 23002254111.

It is a super-3 number, since 3×11145220032³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11145219990 and 11145220008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11145220033) 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, 17488 + ... + 150320.

Almost surely, 2^11145220032 is an apocalyptic number.

11145220032 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 11145220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16195121280).

11145220032 is an abundant number, since it is smaller than the sum of its proper divisors (21245022528).

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

11145220032 is a wasteful number, since it uses less digits than its factorization.

11145220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132890 (or 132880 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11145220032 its reverse (23002254111), we get a palindrome (34147474143).

The spelling of 11145220032 in words is "eleven billion, one hundred forty-five million, two hundred twenty thousand, thirty-two".