11135146400 has 144 divisors (see below), whose sum is σ = 32418175104. Its totient is φ = 3651732480.

The previous prime is 11135146391. The next prime is 11135146409. The reversal of 11135146400 is 464153111.

11135146400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11135146391) and next prime (11135146409).

It is a self number, because there is not a number n which added to its sum of digits gives 11135146400.

It is not an unprimeable number, because it can be changed into a prime (11135146409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85574 + ... + 172026.

It is an arithmetic number, because the mean of its divisors is an integer number (225126216).

Almost surely, 2^11135146400 is an apocalyptic number.

11135146400 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 11135146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16209087552).

11135146400 is an abundant number, since it is smaller than the sum of its proper divisors (21283028704).

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

11135146400 is a wasteful number, since it uses less digits than its factorization.

11135146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86503 (or 86490 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 11135146400 its reverse (464153111), we get a palindrome (11599299511).

It can be divided in two parts, 111351 and 46400, that added together give a palindrome (157751).

The spelling of 11135146400 in words is "eleven billion, one hundred thirty-five million, one hundred forty-six thousand, four hundred".