22686449760 has 768 divisors, whose sum is σ = 89901342720. Its totient is φ = 5305098240.

The previous prime is 22686449719. The next prime is 22686449777. The reversal of 22686449760 is 6794468622.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22686449697 and 22686449706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144499602 + ... + 144499758.

It is an arithmetic number, because the mean of its divisors is an integer number (117059040).

Almost surely, 2^22686449760 is an apocalyptic number.

22686449760 is a gapful number since it is divisible by the number (20) 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 22686449760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44950671360).

22686449760 is an abundant number, since it is smaller than the sum of its proper divisors (67214892960).

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

22686449760 is a wasteful number, since it uses less digits than its factorization.

22686449760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 22686449760 in words is "twenty-two billion, six hundred eighty-six million, four hundred forty-nine thousand, seven hundred sixty".