11266001664 has 288 divisors, whose sum is σ = 33161856000. Its totient is φ = 3381460992.

The previous prime is 11266001641. The next prime is 11266001713. The reversal of 11266001664 is 46610066211.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 33430104 + ... + 33430440.

Almost surely, 2^11266001664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580928000).

11266001664 is an abundant number, since it is smaller than the sum of its proper divisors (21895854336).

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

11266001664 is a wasteful number, since it uses less digits than its factorization.

11266001664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 11266001664 its reverse (46610066211), we get a palindrome (57876067875).

The spelling of 11266001664 in words is "eleven billion, two hundred sixty-six million, one thousand, six hundred sixty-four".