11200114944 has 108 divisors (see below), whose sum is σ = 33488904176. Its totient is φ = 3733350912.

The previous prime is 11200114943. The next prime is 11200114949. The reversal of 11200114944 is 44941100211.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11200114943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27814 + ... + 152229.

Almost surely, 2^11200114944 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 11200114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744452088).

11200114944 is an abundant number, since it is smaller than the sum of its proper divisors (22288789232).

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

11200114944 is an frugal number, since it uses more digits than its factorization.

11200114944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180074 (or 180048 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11200114944 in words is "eleven billion, two hundred million, one hundred fourteen thousand, nine hundred forty-four".