32386285901025 has 243 divisors, whose sum is σ = 68405577478329. Its totient is φ = 14604384493440.

The previous prime is 32386285900993. The next prime is 32386285901027. The reversal of 32386285901025 is 52010958268323.

It is a happy number.

The square root of 32386285901025 is 5690895.

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

32386285901025 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 6 + 28 + 590 + 1 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5479574040801 + 26906711860224 = 2340849^2 + 5187168^2 .

It is not a de Polignac number, because 32386285901025 - 2⁵ = 32386285900993 is a prime.

It is a super-3 number, since 3×32386285901025³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (32386285901027) 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 242 ways as a sum of consecutive naturals, for example, 49596149599 + ... + 49596150251.

Almost surely, 2^{32386285901025} is an apocalyptic number.

32386285901025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

32386285901025 is the 5690895-th square number.

32386285901025 is the 2845448-th centered octagonal number.

It is an amenable number.

32386285901025 is an abundant number, since it is smaller than the sum of its proper divisors (36019291577304).

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

32386285901025 is an frugal number, since it uses more digits than its factorization.

32386285901025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 32386285901025 in words is "thirty-two trillion, three hundred eighty-six billion, two hundred eighty-five million, nine hundred one thousand, twenty-five".