20116145620224 has 216 divisors, whose sum is σ = 58503452028840. Its totient is φ = 6647407312896.

The previous prime is 20116145620199. The next prime is 20116145620247. The reversal of 20116145620224 is 42202654161102.

20116145620224 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 6 + 1 + 4 + 5 + 620 + 2 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 525961453824 + 19590184166400 = 725232^2 + 4426080^2 .

It is a super-2 number, since 2×20116145620224² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122852712 + ... + 123016344.

Almost surely, 2^{20116145620224} is an apocalyptic number.

20116145620224 is a gapful number since it is divisible by the number (24) 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 20116145620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29251726014420).

20116145620224 is an abundant number, since it is smaller than the sum of its proper divisors (38387306408616).

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

20116145620224 is a wasteful number, since it uses less digits than its factorization.

20116145620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164117 (or 164100 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 20116145620224 its reverse (42202654161102), we get a palindrome (62318799781326).

The spelling of 20116145620224 in words is "twenty trillion, one hundred sixteen billion, one hundred forty-five million, six hundred twenty thousand, two hundred twenty-four".