32643455625 has 225 divisors, whose sum is σ = 67908324099. Its totient is φ = 15610320000.

The previous prime is 32643455599. The next prime is 32643455627. The reversal of 32643455625 is 52655434623.

The square root of 32643455625 is 180675.

It is a perfect power (a square), and thus also a powerful number.

32643455625 is a `hidden beast` number, since 3 + 2 + 6 + 43 + 45 + 562 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 23153578569 + 9489877056 = 152163^2 + 97416^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 32643455625 - 2⁷ = 32643455497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (2592000) is a multiple of the sum of its prime factors (200).

It is not an unprimeable number, because it can be changed into a prime (32643455627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 447170589 + ... + 447170661.

Almost surely, 2^32643455625 is an apocalyptic number.

32643455625 is the 180675-th square number.

32643455625 is the 90338-th centered octagonal number.

It is an amenable number.

32643455625 is an abundant number, since it is smaller than the sum of its proper divisors (35264868474).

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

32643455625 is an frugal number, since it uses more digits than its factorization.

32643455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 92 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

The spelling of 32643455625 in words is "thirty-two billion, six hundred forty-three million, four hundred fifty-five thousand, six hundred twenty-five".