20001114432 has 448 divisors, whose sum is σ = 65404227840. Its totient is φ = 5956042752.

The previous prime is 20001114403. The next prime is 20001114449. The reversal of 20001114432 is 23441110002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145993468 + ... + 145993604.

It is an arithmetic number, because the mean of its divisors is an integer number (145991580).

Almost surely, 2^20001114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20001114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32702113920).

20001114432 is an abundant number, since it is smaller than the sum of its proper divisors (45403113408).

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

20001114432 is a wasteful number, since it uses less digits than its factorization.

20001114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20001114432 its reverse (23441110002), we get a palindrome (43442224434).

The spelling of 20001114432 in words is "twenty billion, one million, one hundred fourteen thousand, four hundred thirty-two".