11304234033024 has 128 divisors (see below), whose sum is σ = 30153204381600. Its totient is φ = 3752233795584.

The previous prime is 11304234033019. The next prime is 11304234033067. The reversal of 11304234033024 is 42033043240311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×11304234033024³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304234032982 and 11304234033000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347069412 + ... + 347101980.

Almost surely, 2^{11304234033024} 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 11304234033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15076602190800).

11304234033024 is an abundant number, since it is smaller than the sum of its proper divisors (18848970348576).

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

11304234033024 is a wasteful number, since it uses less digits than its factorization.

11304234033024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36360 (or 36348 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 11304234033024 its reverse (42033043240311), we get a palindrome (53337277273335).

The spelling of 11304234033024 in words is "eleven trillion, three hundred four billion, two hundred thirty-four million, thirty-three thousand, twenty-four".