11199438432 has 1152 divisors, whose sum is σ = 46230912000. Its totient is φ = 2633637888.

The previous prime is 11199438407. The next prime is 11199438433. The reversal of 11199438432 is 23483499111.

11199438432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11199438433) 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 191 ways as a sum of consecutive naturals, for example, 589444119 + ... + 589444137.

It is an arithmetic number, because the mean of its divisors is an integer number (40131000).

Almost surely, 2^11199438432 is an apocalyptic number.

11199438432 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 11199438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23115456000).

11199438432 is an abundant number, since it is smaller than the sum of its proper divisors (35031473568).

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

11199438432 is a wasteful number, since it uses less digits than its factorization.

11199438432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 61 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

It can be divided in two parts, 111994 and 38432, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 11199438432 in words is "eleven billion, one hundred ninety-nine million, four hundred thirty-eight thousand, four hundred thirty-two".