11241000144 has 120 divisors (see below), whose sum is σ = 35117445792. Its totient is φ = 3327125760.

The previous prime is 11241000061. The next prime is 11241000157. The reversal of 11241000144 is 44100014211.

11241000144 is a `hidden beast` number, since 112 + 410 + 0 + 0 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 14407 + ... + 150630.

Almost surely, 2^11241000144 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 11241000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17558722896).

11241000144 is an abundant number, since it is smaller than the sum of its proper divisors (23876445648).

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

11241000144 is a wasteful number, since it uses less digits than its factorization.

11241000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165105 (or 165096 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11241000144 its reverse (44100014211), we get a palindrome (55341014355).

The spelling of 11241000144 in words is "eleven billion, two hundred forty-one million, one hundred forty-four", and thus it is an aban number.