11834228736 has 352 divisors, whose sum is σ = 40265308800. Its totient is φ = 3397386240.

The previous prime is 11834228723. The next prime is 11834228743. The reversal of 11834228736 is 63782243811.

11834228736 is a `hidden beast` number, since 118 + 3 + 422 + 87 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 11834228691 and 11834228700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622854135 + ... + 622854153.

Almost surely, 2^11834228736 is an apocalyptic number.

11834228736 is a gapful number since it is divisible by the number (16) 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 11834228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132654400).

11834228736 is an abundant number, since it is smaller than the sum of its proper divisors (28431080064).

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

11834228736 is an frugal number, since it uses more digits than its factorization.

11834228736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11834228736 in words is "eleven billion, eight hundred thirty-four million, two hundred twenty-eight thousand, seven hundred thirty-six".