11103848064 has 224 divisors, whose sum is σ = 34917415200. Its totient is φ = 3505918464.

The previous prime is 11103848047. The next prime is 11103848123. The reversal of 11103848064 is 46084830111.

It is a happy number.

11103848064 is a `hidden beast` number, since 1 + 110 + 3 + 8 + 480 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1769797 + ... + 1776059.

Almost surely, 2^11103848064 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 11103848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17458707600).

11103848064 is an abundant number, since it is smaller than the sum of its proper divisors (23813567136).

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

11103848064 is an frugal number, since it uses more digits than its factorization.

11103848064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11103848064 in words is "eleven billion, one hundred three million, eight hundred forty-eight thousand, sixty-four".