11191428864 has 432 divisors, whose sum is σ = 40559500800. Its totient is φ = 2883133440.

The previous prime is 11191428863. The next prime is 11191428877. The reversal of 11191428864 is 46882419111.

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 (11191428863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35304034 + ... + 35304350.

Almost surely, 2^11191428864 is an apocalyptic number.

11191428864 is a gapful number since it is divisible by the number (14) 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 11191428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279750400).

11191428864 is an abundant number, since it is smaller than the sum of its proper divisors (29368071936).

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

11191428864 is a wasteful number, since it uses less digits than its factorization.

11191428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 11191428864 in words is "eleven billion, one hundred ninety-one million, four hundred twenty-eight thousand, eight hundred sixty-four".