32252067053568 has 450 divisors, whose sum is σ = 97081491708474. Its totient is φ = 10713997246464.

The previous prime is 32252067053561. The next prime is 32252067053683. The reversal of 32252067053568 is 86535076025223.

32252067053568 is a `hidden beast` number, since 3 + 2 + 2 + 5 + 2 + 0 + 6 + 70 + 5 + 3 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31811765796864 + 440301256704 = 5640192^2 + 663552^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32252067053561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110075314030 + ... + 110075314322.

Almost surely, 2^{32252067053568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32252067053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48540745854237).

32252067053568 is an abundant number, since it is smaller than the sum of its proper divisors (64829424654906).

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

32252067053568 is an frugal number, since it uses more digits than its factorization.

32252067053568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 32252067053568 in words is "thirty-two trillion, two hundred fifty-two billion, sixty-seven million, fifty-three thousand, five hundred sixty-eight".