11826436608 has 480 divisors, whose sum is σ = 42897254400. Its totient is φ = 3058311168.

The previous prime is 11826436571. The next prime is 11826436663. The reversal of 11826436608 is 80663462811.

11826436608 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 6 + 4 + 36 + 608 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14095453 + ... + 14096291.

It is an arithmetic number, because the mean of its divisors is an integer number (89369280).

Almost surely, 2^11826436608 is an apocalyptic number.

11826436608 is a gapful number since it is divisible by the number (18) 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 11826436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21448627200).

11826436608 is an abundant number, since it is smaller than the sum of its proper divisors (31070817792).

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

11826436608 is a wasteful number, since it uses less digits than its factorization.

11826436608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11826436608 in words is "eleven billion, eight hundred twenty-six million, four hundred thirty-six thousand, six hundred eight".