11134215456 has 384 divisors, whose sum is σ = 37797580800. Its totient is φ = 2790789120.

The previous prime is 11134215451. The next prime is 11134215481. The reversal of 11134215456 is 65451243111.

It is not an unprimeable number, because it can be changed into a prime (11134215451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17987115 + ... + 17987733.

It is an arithmetic number, because the mean of its divisors is an integer number (98431200).

Almost surely, 2^11134215456 is an apocalyptic number.

11134215456 is a gapful number since it is divisible by the number (16) 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 11134215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18898790400).

11134215456 is an abundant number, since it is smaller than the sum of its proper divisors (26663365344).

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

11134215456 is a wasteful number, since it uses less digits than its factorization.

11134215456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

Adding to 11134215456 its reverse (65451243111), we get a palindrome (76585458567).

The spelling of 11134215456 in words is "eleven billion, one hundred thirty-four million, two hundred fifteen thousand, four hundred fifty-six".