11411133888 has 448 divisors, whose sum is σ = 40384585728. Its totient is φ = 2755399680.

The previous prime is 11411133871. The next prime is 11411133913. The reversal of 11411133888 is 88833111411.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12580731 + ... + 12581637.

Almost surely, 2^11411133888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20192292864).

11411133888 is an abundant number, since it is smaller than the sum of its proper divisors (28973451840).

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

11411133888 is a wasteful number, since it uses less digits than its factorization.

11411133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The spelling of 11411133888 in words is "eleven billion, four hundred eleven million, one hundred thirty-three thousand, eight hundred eighty-eight".