11005612064 has 48 divisors (see below), whose sum is σ = 22449934080. Its totient is φ = 5305370880.

The previous prime is 11005612039. The next prime is 11005612069. The reversal of 11005612064 is 46021650011.

It is a super-2 number, since 2×11005612064² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11005612069) 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, 246227 + ... + 287469.

It is an arithmetic number, because the mean of its divisors is an integer number (467706960).

Almost surely, 2^11005612064 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 11005612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11224967040).

11005612064 is an abundant number, since it is smaller than the sum of its proper divisors (11444322016).

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

11005612064 is a wasteful number, since it uses less digits than its factorization.

11005612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41553 (or 41545 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The spelling of 11005612064 in words is "eleven billion, five million, six hundred twelve thousand, sixty-four".