11834906496 has 576 divisors, whose sum is σ = 40510789200. Its totient is φ = 3046686720.

The previous prime is 11834906477. The next prime is 11834906513. The reversal of 11834906496 is 69460943811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 288656236 + ... + 288656276.

Almost surely, 2^11834906496 is an apocalyptic number.

11834906496 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 11834906496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255394600).

11834906496 is an abundant number, since it is smaller than the sum of its proper divisors (28675882704).

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

11834906496 is a wasteful number, since it uses less digits than its factorization.

11834906496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 11834906496 in words is "eleven billion, eight hundred thirty-four million, nine hundred six thousand, four hundred ninety-six".