11154000000 has 672 divisors, whose sum is σ = 43747877520. Its totient is φ = 2496000000.

The previous prime is 11153999993. The next prime is 11154000001. The reversal of 11154000000 is 45111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11154000000.

It is not an unprimeable number, because it can be changed into a prime (11154000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 857999994 + ... + 858000006.

Almost surely, 2^11154000000 is an apocalyptic number.

11154000000 is a gapful number since it is divisible by the number (10) 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 11154000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21873938760).

11154000000 is an abundant number, since it is smaller than the sum of its proper divisors (32593877520).

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

11154000000 is an frugal number, since it uses more digits than its factorization.

11154000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 11154000000 its reverse (45111), we get a palindrome (11154045111).

The spelling of 11154000000 in words is "eleven billion, one hundred fifty-four million", and thus it is an aban number.