11264001408 has 192 divisors, whose sum is σ = 35890470720. Its totient is φ = 3362135040.

The previous prime is 11264001367. The next prime is 11264001433. The reversal of 11264001408 is 80410046211.

It is a happy number.

11264001408 is a `hidden beast` number, since 1 + 1 + 2 + 640 + 0 + 14 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 842391 + ... + 855657.

It is an arithmetic number, because the mean of its divisors is an integer number (186929535).

Almost surely, 2^11264001408 is an apocalyptic number.

11264001408 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 11264001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17945235360).

11264001408 is an abundant number, since it is smaller than the sum of its proper divisors (24626469312).

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

11264001408 is a wasteful number, since it uses less digits than its factorization.

11264001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13365 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11264001408 its reverse (80410046211), we get a palindrome (91674047619).

The spelling of 11264001408 in words is "eleven billion, two hundred sixty-four million, one thousand, four hundred eight".