11303385408 has 560 divisors, whose sum is σ = 41265189504. Its totient is φ = 2985984000.

The previous prime is 11303385389. The next prime is 11303385409. The reversal of 11303385408 is 80458330311.

11303385408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11303385409) 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 79 ways as a sum of consecutive naturals, for example, 45033283 + ... + 45033533.

Almost surely, 2^11303385408 is an apocalyptic number.

11303385408 is a gapful number since it is divisible by the number (18) 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 11303385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632594752).

11303385408 is an abundant number, since it is smaller than the sum of its proper divisors (29961804096).

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

11303385408 is a wasteful number, since it uses less digits than its factorization.

11303385408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11303385408 in words is "eleven billion, three hundred three million, three hundred eighty-five thousand, four hundred eight".