12564201465 has 64 divisors (see below), whose sum is σ = 23098348800. Its totient is φ = 6476101632.

The previous prime is 12564201449. The next prime is 12564201473. The reversal of 12564201465 is 56410246521.

12564201465 is a `hidden beast` number, since 1 + 2 + 5 + 642 + 0 + 1 + 4 + 6 + 5 = 666.

It is not a de Polignac number, because 12564201465 - 2⁴ = 12564201449 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466281 + ... + 492489.

It is an arithmetic number, because the mean of its divisors is an integer number (360911700).

Almost surely, 2^12564201465 is an apocalyptic number.

12564201465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12564201465 is a deficient number, since it is larger than the sum of its proper divisors (10534147335).

12564201465 is a wasteful number, since it uses less digits than its factorization.

12564201465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26343 (or 26337 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 12564201465 its reverse (56410246521), we get a palindrome (68974447986).

The spelling of 12564201465 in words is "twelve billion, five hundred sixty-four million, two hundred one thousand, four hundred sixty-five".