32280862640625 has 189 divisors, whose sum is σ = 59250004539453. Its totient is φ = 16935787800000.

The previous prime is 32280862640617. The next prime is 32280862640657. The reversal of 32280862640625 is 52604626808223.

It is a happy number.

The square root of 32280862640625 is 5681625.

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

32280862640625 is a `hidden beast` number, since 3 + 2 + 2 + 8 + 0 + 8 + 6 + 2 + 6 + 4 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 30699123781041 + 1581738859584 = 5540679^2 + 1257672^2 .

It is not a de Polignac number, because 32280862640625 - 2³ = 32280862640617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 232236421806 + ... + 232236421944.

Almost surely, 2^{32280862640625} is an apocalyptic number.

32280862640625 is the 5681625-th square number.

32280862640625 is the 2840813-rd centered octagonal number.

It is an amenable number.

32280862640625 is a deficient number, since it is larger than the sum of its proper divisors (26969141898828).

32280862640625 is an frugal number, since it uses more digits than its factorization.

32280862640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 32280862640625 in words is "thirty-two trillion, two hundred eighty billion, eight hundred sixty-two million, six hundred forty thousand, six hundred twenty-five".