11171431376 has 80 divisors (see below), whose sum is σ = 25418789760. Its totient is φ = 4656476160.

The previous prime is 11171431373. The next prime is 11171431379. The reversal of 11171431376 is 67313417111.

11171431376 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 (11171431373) and next prime (11171431379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11171431373) 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 15 ways as a sum of consecutive naturals, for example, 1543895 + ... + 1551113.

It is an arithmetic number, because the mean of its divisors is an integer number (317734872).

Almost surely, 2^11171431376 is an apocalyptic number.

11171431376 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 11171431376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12709394880).

11171431376 is an abundant number, since it is smaller than the sum of its proper divisors (14247358384).

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

11171431376 is a wasteful number, since it uses less digits than its factorization.

11171431376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7606 counting only the distinct ones).

The product of its digits is 10584, while the sum is 35.

Adding to 11171431376 its reverse (67313417111), we get a palindrome (78484848487).

The spelling of 11171431376 in words is "eleven billion, one hundred seventy-one million, four hundred thirty-one thousand, three hundred seventy-six".