11606208768 has 432 divisors, whose sum is σ = 43283874816. Its totient is φ = 3013355520.

The previous prime is 11606208739. The next prime is 11606208833. The reversal of 11606208768 is 86780260611.

It is a happy number.

11606208768 is a `hidden beast` number, since 1 + 16 + 0 + 620 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4788805 + ... + 4791227.

Almost surely, 2^11606208768 is an apocalyptic number.

11606208768 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 11606208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21641937408).

11606208768 is an abundant number, since it is smaller than the sum of its proper divisors (31677666048).

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

11606208768 is an equidigital number, since it uses as much as digits as its factorization.

11606208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11606208768 in words is "eleven billion, six hundred six million, two hundred eight thousand, seven hundred sixty-eight".