32249630088 has 768 divisors, whose sum is σ = 114107616000. Its totient is φ = 8330895360.

The previous prime is 32249630009. The next prime is 32249630089. The reversal of 32249630088 is 88003694223.

32249630088 is a `hidden beast` number, since 3 + 2 + 2 + 4 + 9 + 630 + 0 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32249630089) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 871611606 + ... + 871611642.

It is an arithmetic number, because the mean of its divisors is an integer number (148577625).

Almost surely, 2^32249630088 is an apocalyptic number.

32249630088 is a gapful number since it is divisible by the number (38) 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 32249630088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57053808000).

32249630088 is an abundant number, since it is smaller than the sum of its proper divisors (81857985912).

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

32249630088 is a wasteful number, since it uses less digits than its factorization.

32249630088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32249630088 in words is "thirty-two billion, two hundred forty-nine million, six hundred thirty thousand, eighty-eight".