32252313312 has 72 divisors (see below), whose sum is σ = 91915989984. Its totient is φ = 10727506944.

The previous prime is 32252313311. The next prime is 32252313341. The reversal of 32252313312 is 21331325223.

It is a happy number.

32252313312 is a `hidden beast` number, since 3 + 2 + 2 + 523 + 133 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32252313311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12408 + ... + 254280.

It is an arithmetic number, because the mean of its divisors is an integer number (1276610972).

Almost surely, 2^32252313312 is an apocalyptic number.

32252313312 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 32252313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45957994992).

32252313312 is an abundant number, since it is smaller than the sum of its proper divisors (59663676672).

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

32252313312 is a wasteful number, since it uses less digits than its factorization.

32252313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242352 (or 242341 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

Adding to 32252313312 its reverse (21331325223), we get a palindrome (53583638535).

The spelling of 32252313312 in words is "thirty-two billion, two hundred fifty-two million, three hundred thirteen thousand, three hundred twelve".