11014234000 has 320 divisors, whose sum is σ = 34119101952. Its totient is φ = 3338496000.

The previous prime is 11014233991. The next prime is 11014234009. The reversal of 11014234000 is 43241011.

It is an interprime number because it is at equal distance from previous prime (11014233991) and next prime (11014234009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11014234009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5697034 + ... + 5698966.

Almost surely, 2^11014234000 is an apocalyptic number.

11014234000 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 11014234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059550976).

11014234000 is an abundant number, since it is smaller than the sum of its proper divisors (23104867952).

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

11014234000 is a wasteful number, since it uses less digits than its factorization.

11014234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11014234000 its reverse (43241011), we get a palindrome (11057475011).

The spelling of 11014234000 in words is "eleven billion, fourteen million, two hundred thirty-four thousand".