32245809152 has 78 divisors (see below), whose sum is σ = 66639100959. Its totient is φ = 15602810880.

The previous prime is 32245809107. The next prime is 32245809157. The reversal of 32245809152 is 25190854223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 16122904576 + 16122904576 = 126976^2 + 126976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=126976.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32245809157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1040187377 + ... + 1040187407.

Almost surely, 2^32245809152 is an apocalyptic number.

32245809152 is a gapful number since it is divisible by the number (32) 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 32245809152

32245809152 is an abundant number, since it is smaller than the sum of its proper divisors (34393291807).

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

32245809152 is an frugal number, since it uses more digits than its factorization.

32245809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 32245809152 in words is "thirty-two billion, two hundred forty-five million, eight hundred nine thousand, one hundred fifty-two".