11834735227224 has 384 divisors, whose sum is σ = 36833771520000. Its totient is φ = 3102620032512.

The previous prime is 11834735227207. The next prime is 11834735227229. The reversal of 11834735227224 is 42272253743811.

It is a Cunningham number, because it is equal to 3440165²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834735227229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4933193977 + ... + 4933196375.

It is an arithmetic number, because the mean of its divisors is an integer number (95921280000).

Almost surely, 2^{11834735227224} is an apocalyptic number.

11834735227224 is a gapful number since it is divisible by the number (14) 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 11834735227224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416885760000).

11834735227224 is an abundant number, since it is smaller than the sum of its proper divisors (24999036292776).

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

11834735227224 is a wasteful number, since it uses less digits than its factorization.

11834735227224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3390 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 51.

The spelling of 11834735227224 in words is "eleven trillion, eight hundred thirty-four billion, seven hundred thirty-five million, two hundred twenty-seven thousand, two hundred twenty-four".