22144636060200 has 288 divisors, whose sum is σ = 78794593932600. Its totient is φ = 5554278727680.

The previous prime is 22144636060171. The next prime is 22144636060229. The reversal of 22144636060200 is 206063644122.

22144636060200 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 46 + 3 + 6 + 0 + 602 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22144636060171) and next prime (22144636060229).

It can be written as a sum of positive squares in 12 ways, for example, as 189919896804 + 21954716163396 = 435798^2 + 4685586^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47288806 + ... + 47754794.

Almost surely, 2^{22144636060200} is an apocalyptic number.

22144636060200 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 22144636060200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39397296966300).

22144636060200 is an abundant number, since it is smaller than the sum of its proper divisors (56649957872400).

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

22144636060200 is a wasteful number, since it uses less digits than its factorization.

22144636060200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467581 (or 467569 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22144636060200 in words is "twenty-two trillion, one hundred forty-four billion, six hundred thirty-six million, sixty thousand, two hundred".