22116355506 has 240 divisors, whose sum is σ = 59639241816. Its totient is φ = 6103351296.

The previous prime is 22116355501. The next prime is 22116355519. The reversal of 22116355506 is 60555361122.

22116355506 is a `hidden beast` number, since 2 + 2 + 11 + 635 + 5 + 5 + 0 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18091595025 + 4024760481 = 134505^2 + 63441^2 .

It is not an unprimeable number, because it can be changed into a prime (22116355501) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75482296 + ... + 75482588.

Almost surely, 2^22116355506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22116355506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29819620908).

22116355506 is an abundant number, since it is smaller than the sum of its proper divisors (37522886310).

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

22116355506 is a wasteful number, since it uses less digits than its factorization.

22116355506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 22116355506 in words is "twenty-two billion, one hundred sixteen million, three hundred fifty-five thousand, five hundred six".