11263663224 has 256 divisors, whose sum is σ = 36130406400. Its totient is φ = 3217737600.

The previous prime is 11263663219. The next prime is 11263663253. The reversal of 11263663224 is 42236636211.

11263663224 is a `hidden beast` number, since 1 + 12 + 6 + 3 + 6 + 632 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3878557 + ... + 3881459.

It is an arithmetic number, because the mean of its divisors is an integer number (141134400).

Almost surely, 2^11263663224 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 11263663224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065203200).

11263663224 is an abundant number, since it is smaller than the sum of its proper divisors (24866743176).

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

11263663224 is a wasteful number, since it uses less digits than its factorization.

11263663224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3013 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The spelling of 11263663224 in words is "eleven billion, two hundred sixty-three million, six hundred sixty-three thousand, two hundred twenty-four".