32221785816 has 192 divisors, whose sum is σ = 101189088000. Its totient is φ = 9160024320.

The previous prime is 32221785809. The next prime is 32221785847. The reversal of 32221785816 is 61858712223.

32221785816 is a `hidden beast` number, since 32 + 22 + 17 + 8 + 581 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539550 + ... + 1560338.

It is an arithmetic number, because the mean of its divisors is an integer number (527026500).

Almost surely, 2^32221785816 is an apocalyptic number.

32221785816 is a gapful number since it is divisible by the number (36) 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 32221785816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50594544000).

32221785816 is an abundant number, since it is smaller than the sum of its proper divisors (68967302184).

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

32221785816 is a wasteful number, since it uses less digits than its factorization.

32221785816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20934 (or 20927 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 32221785816 in words is "thirty-two billion, two hundred twenty-one million, seven hundred eighty-five thousand, eight hundred sixteen".