11132400114 has 96 divisors (see below), whose sum is σ = 27884787840. Its totient is φ = 3177619200.

The previous prime is 11132400109. The next prime is 11132400157. The reversal of 11132400114 is 41100423111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 211779 + ... + 259065.

It is an arithmetic number, because the mean of its divisors is an integer number (290466540).

Almost surely, 2^11132400114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132400114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942393920).

11132400114 is an abundant number, since it is smaller than the sum of its proper divisors (16752387726).

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

11132400114 is a wasteful number, since it uses less digits than its factorization.

11132400114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47376 (or 47373 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11132400114 its reverse (41100423111), we get a palindrome (52232823225).

The spelling of 11132400114 in words is "eleven billion, one hundred thirty-two million, four hundred thousand, one hundred fourteen".