11064406496 has 288 divisors, whose sum is σ = 28378667520. Its totient is φ = 4198487040.

The previous prime is 11064406489. The next prime is 11064406499. The reversal of 11064406496 is 69460446011.

It is a happy number.

It is a super-2 number, since 2×11064406496² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11064406499) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21996581 + ... + 21997083.

It is an arithmetic number, because the mean of its divisors is an integer number (98537040).

Almost surely, 2^11064406496 is an apocalyptic number.

11064406496 is a gapful number since it is divisible by the number (16) 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 11064406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14189333760).

11064406496 is an abundant number, since it is smaller than the sum of its proper divisors (17314261024).

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

11064406496 is a wasteful number, since it uses less digits than its factorization.

11064406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 11064406496 in words is "eleven billion, sixty-four million, four hundred six thousand, four hundred ninety-six".