11223686016 has 96 divisors (see below), whose sum is σ = 32369516400. Its totient is φ = 3732867072.

The previous prime is 11223686009. The next prime is 11223686041. The reversal of 11223686016 is 61068632211.

It is a happy number.

11223686016 is a `hidden beast` number, since 1 + 12 + 2 + 36 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11223686016² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515805 + ... + 537123.

Almost surely, 2^11223686016 is an apocalyptic number.

11223686016 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 11223686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16184758200).

11223686016 is an abundant number, since it is smaller than the sum of its proper divisors (21145830384).

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

11223686016 is a wasteful number, since it uses less digits than its factorization.

11223686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21796 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11223686016 in words is "eleven billion, two hundred twenty-three million, six hundred eighty-six thousand, sixteen".