22450718160 has 800 divisors, whose sum is σ = 90721505952. Its totient is φ = 5096079360.

The previous prime is 22450718153. The next prime is 22450718161. The reversal of 22450718160 is 6181705422.

22450718160 is a `hidden beast` number, since 2 + 2 + 450 + 71 + 81 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 4842489744 + 17608228416 = 69588^2 + 132696^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22450718161) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87356752 + ... + 87357008.

Almost surely, 2^22450718160 is an apocalyptic number.

22450718160 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 22450718160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360752976).

22450718160 is an abundant number, since it is smaller than the sum of its proper divisors (68270787792).

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

22450718160 is a wasteful number, since it uses less digits than its factorization.

22450718160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 22450718160 in words is "twenty-two billion, four hundred fifty million, seven hundred eighteen thousand, one hundred sixty".