11006400663 has 16 divisors (see below), whose sum is σ = 16309375200. Its totient is φ = 7335982080.

The previous prime is 11006400659. The next prime is 11006400737. The reversal of 11006400663 is 36600460011.

11006400663 is a `hidden beast` number, since 1 + 10 + 0 + 640 + 0 + 6 + 6 + 3 = 666.

It is not a de Polignac number, because 11006400663 - 2² = 11006400659 is a prime.

It is a super-2 number, since 2×11006400663² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11006401663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86743 + ... + 171863.

It is an arithmetic number, because the mean of its divisors is an integer number (1019335950).

Almost surely, 2^11006400663 is an apocalyptic number.

11006400663 is a deficient number, since it is larger than the sum of its proper divisors (5302974537).

11006400663 is an equidigital number, since it uses as much as digits as its factorization.

11006400663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89919 (or 89913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11006400663 its reverse (36600460011), we get a palindrome (47606860674).

The spelling of 11006400663 in words is "eleven billion, six million, four hundred thousand, six hundred sixty-three".