11134401432 has 256 divisors, whose sum is σ = 37084262400. Its totient is φ = 2698375680.

The previous prime is 11134401403. The next prime is 11134401493. The reversal of 11134401432 is 23410443111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2350138 + ... + 2354870.

It is an arithmetic number, because the mean of its divisors is an integer number (144860400).

Almost surely, 2^11134401432 is an apocalyptic number.

11134401432 is a gapful number since it is divisible by the number (12) 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 11134401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542131200).

11134401432 is an abundant number, since it is smaller than the sum of its proper divisors (25949860968).

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

11134401432 is a wasteful number, since it uses less digits than its factorization.

11134401432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11134401432 its reverse (23410443111), we get a palindrome (34544844543).

The spelling of 11134401432 in words is "eleven billion, one hundred thirty-four million, four hundred one thousand, four hundred thirty-two".