11034200144 has 80 divisors (see below), whose sum is σ = 24607800000. Its totient is φ = 4740341760.

The previous prime is 11034200129. The next prime is 11034200161. The reversal of 11034200144 is 44100243011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497782 + ... + 1505130.

It is an arithmetic number, because the mean of its divisors is an integer number (307597500).

Almost surely, 2^11034200144 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 11034200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12303900000).

11034200144 is an abundant number, since it is smaller than the sum of its proper divisors (13573599856).

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

11034200144 is a wasteful number, since it uses less digits than its factorization.

11034200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 11034200144 its reverse (44100243011), we get a palindrome (55134443155).

The spelling of 11034200144 in words is "eleven billion, thirty-four million, two hundred thousand, one hundred forty-four".