22206616245000 has 480 divisors, whose sum is σ = 82203845724000. Its totient is φ = 5369172480000.

The previous prime is 22206616244987. The next prime is 22206616245001. The reversal of 22206616245000 is 54261660222.

22206616245000 is a `hidden beast` number, since 2 + 2 + 20 + 6 + 6 + 1 + 624 + 5 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22206616245001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 187545816 + ... + 187664184.

It is an arithmetic number, because the mean of its divisors is an integer number (171258011925).

Almost surely, 2^{22206616245000} is an apocalyptic number.

22206616245000 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 22206616245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41101922862000).

22206616245000 is an abundant number, since it is smaller than the sum of its proper divisors (59997229479000).

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

22206616245000 is a wasteful number, since it uses less digits than its factorization.

22206616245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118791 (or 118769 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22206616245000 in words is "twenty-two trillion, two hundred six billion, six hundred sixteen million, two hundred forty-five thousand".