11033010144 has 144 divisors (see below), whose sum is σ = 33854511600. Its totient is φ = 3388151808.

The previous prime is 11033010137. The next prime is 11033010151. The reversal of 11033010144 is 44101033011.

It is an interprime number because it is at equal distance from previous prime (11033010137) and next prime (11033010151).

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 (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, 2127747 + ... + 2132925.

It is an arithmetic number, because the mean of its divisors is an integer number (235100775).

Almost surely, 2^11033010144 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 11033010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16927255800).

11033010144 is an abundant number, since it is smaller than the sum of its proper divisors (22821501456).

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

11033010144 is a wasteful number, since it uses less digits than its factorization.

11033010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11033010144 its reverse (44101033011), we get a palindrome (55134043155).

The spelling of 11033010144 in words is "eleven billion, thirty-three million, ten thousand, one hundred forty-four".