11201296608 has 144 divisors (see below), whose sum is σ = 33329421216. Its totient is φ = 3561676800.

The previous prime is 11201296571. The next prime is 11201296621. The reversal of 11201296608 is 80669210211.

11201296608 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 29 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 2654116 + ... + 2658332.

It is an arithmetic number, because the mean of its divisors is an integer number (231454314).

Almost surely, 2^11201296608 is an apocalyptic number.

11201296608 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 11201296608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16664710608).

11201296608 is an abundant number, since it is smaller than the sum of its proper divisors (22128124608).

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

11201296608 is a wasteful number, since it uses less digits than its factorization.

11201296608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4657 (or 4646 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11201296608 in words is "eleven billion, two hundred one million, two hundred ninety-six thousand, six hundred eight".