22447811842560 has 960 divisors, whose sum is σ = 84428240184288. Its totient is φ = 5479304527872.

The previous prime is 22447811842559. The next prime is 22447811842571. The reversal of 22447811842560 is 6524811874422.

22447811842560 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 78 + 1 + 1 + 8 + 4 + 2 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1416709345536 + 21031102497024 = 1190256^2 + 4585968^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 22447811842497 and 22447811842506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33354846384 + ... + 33354847056.

Almost surely, 2^{22447811842560} is an apocalyptic number.

22447811842560 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 22447811842560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42214120092144).

22447811842560 is an abundant number, since it is smaller than the sum of its proper divisors (61980428341728).

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

22447811842560 is a wasteful number, since it uses less digits than its factorization.

22447811842560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 22447811842560 in words is "twenty-two trillion, four hundred forty-seven billion, eight hundred eleven million, eight hundred forty-two thousand, five hundred sixty".