11226006464 has 56 divisors (see below), whose sum is σ = 22706838000. Its totient is φ = 5505044480.

The previous prime is 11226006437. The next prime is 11226006499. The reversal of 11226006464 is 46460062211.

It is a super-2 number, since 2×11226006464² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11226006464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1737512 + ... + 1743960.

It is an arithmetic number, because the mean of its divisors is an integer number (405479250).

Almost surely, 2^11226006464 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 11226006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11353419000).

11226006464 is an abundant number, since it is smaller than the sum of its proper divisors (11480831536).

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

11226006464 is an equidigital number, since it uses as much as digits as its factorization.

11226006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6981 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 11226006464 its reverse (46460062211), we get a palindrome (57686068675).

The spelling of 11226006464 in words is "eleven billion, two hundred twenty-six million, six thousand, four hundred sixty-four".