32205112434 has 96 divisors (see below), whose sum is σ = 79014640320. Its totient is φ = 9715685760.

The previous prime is 32205112367. The next prime is 32205112441. The reversal of 32205112434 is 43421150223.

32205112434 is a `hidden beast` number, since 3 + 220 + 5 + 1 + 1 + 2 + 434 = 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 = 32205112398 and 32205112407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472362 + ... + 1494074.

It is an arithmetic number, because the mean of its divisors is an integer number (823069170).

Almost surely, 2^32205112434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32205112434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39507320160).

32205112434 is an abundant number, since it is smaller than the sum of its proper divisors (46809527886).

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

32205112434 is a wasteful number, since it uses less digits than its factorization.

32205112434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21973 (or 21956 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32205112434 its reverse (43421150223), we get a palindrome (75626262657).

The spelling of 32205112434 in words is "thirty-two billion, two hundred five million, one hundred twelve thousand, four hundred thirty-four".