11006101664 has 48 divisors (see below), whose sum is σ = 22573131840. Its totient is φ = 5277795840.

The previous prime is 11006101621. The next prime is 11006101669. The reversal of 11006101664 is 46610160011.

It is a super-2 number, since 2×11006101664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11006101669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6317 + ... + 148499.

It is an arithmetic number, because the mean of its divisors is an integer number (470273580).

Almost surely, 2^11006101664 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 11006101664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11286565920).

11006101664 is an abundant number, since it is smaller than the sum of its proper divisors (11567030176).

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

11006101664 is a wasteful number, since it uses less digits than its factorization.

11006101664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142293 (or 142285 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 11006101664 its reverse (46610160011), we get a palindrome (57616261675).

The spelling of 11006101664 in words is "eleven billion, six million, one hundred one thousand, six hundred sixty-four".