11422881792 has 336 divisors, whose sum is σ = 39172507920. Its totient is φ = 3260694528.

The previous prime is 11422881751. The next prime is 11422881797. The reversal of 11422881792 is 29718822411.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11422881797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10450398 + ... + 10451490.

It is an arithmetic number, because the mean of its divisors is an integer number (116584845).

Almost surely, 2^11422881792 is an apocalyptic number.

11422881792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11422881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586253960).

11422881792 is an abundant number, since it is smaller than the sum of its proper divisors (27749626128).

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

11422881792 is an frugal number, since it uses more digits than its factorization.

11422881792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1105 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 11422881792 in words is "eleven billion, four hundred twenty-two million, eight hundred eighty-one thousand, seven hundred ninety-two".