22686946560 has 504 divisors, whose sum is σ = 83604190824. Its totient is φ = 5892341760.

The previous prime is 22686946553. The next prime is 22686946631. The reversal of 22686946560 is 6564968622.

It is a happy number.

22686946560 is a `hidden beast` number, since 2 + 2 + 68 + 69 + 465 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 215737344 + 22471209216 = 14688^2 + 149904^2 .

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 = 22686946497 and 22686946506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38257624 + ... + 38258216.

It is an arithmetic number, because the mean of its divisors is an integer number (165881331).

Almost surely, 2^22686946560 is an apocalyptic number.

22686946560 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 22686946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41802095412).

22686946560 is an abundant number, since it is smaller than the sum of its proper divisors (60917244264).

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

22686946560 is an frugal number, since it uses more digits than its factorization.

22686946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 22686946560 in words is "twenty-two billion, six hundred eighty-six million, nine hundred forty-six thousand, five hundred sixty".