20109114432 has 560 divisors, whose sum is σ = 68155718400. Its totient is φ = 5808983040.

The previous prime is 20109114427. The next prime is 20109114439. The reversal of 20109114432 is 23441190102.

It is a happy number.

20109114432 is a `hidden beast` number, since 201 + 0 + 9 + 11 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20109114396 and 20109114405.

It is not an unprimeable number, because it can be changed into a prime (20109114439) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144669819 + ... + 144669957.

It is an arithmetic number, because the mean of its divisors is an integer number (121706640).

Almost surely, 2^20109114432 is an apocalyptic number.

20109114432 is a gapful number since it is divisible by the number (22) 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 20109114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34077859200).

20109114432 is an abundant number, since it is smaller than the sum of its proper divisors (48046603968).

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

20109114432 is a wasteful number, since it uses less digits than its factorization.

20109114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 20109114432 in words is "twenty billion, one hundred nine million, one hundred fourteen thousand, four hundred thirty-two".