10636228224 has 192 divisors, whose sum is σ = 31203113760. Its totient is φ = 3477030912.

The previous prime is 10636228219. The next prime is 10636228243. The reversal of 10636228224 is 42282263601.

10636228224 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 622 + 8 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10636228224² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16541247 + ... + 16541889.

Almost surely, 2^10636228224 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 10636228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15601556880).

10636228224 is an abundant number, since it is smaller than the sum of its proper divisors (20566885536).

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

10636228224 is a wasteful number, since it uses less digits than its factorization.

10636228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 10636228224 in words is "ten billion, six hundred thirty-six million, two hundred twenty-eight thousand, two hundred twenty-four".