12564745245 has 96 divisors (see below), whose sum is σ = 24646498560. Its totient is φ = 6068424960.

The previous prime is 12564745231. The next prime is 12564745247. The reversal of 12564745245 is 54254746521.

12564745245 is a `hidden beast` number, since 1 + 2 + 56 + 4 + 74 + 524 + 5 = 666.

It is not a de Polignac number, because 12564745245 - 2¹⁶ = 12564679709 is a prime.

It is a super-2 number, since 2×12564745245² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12564745245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12564745247) 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 95 ways as a sum of consecutive naturals, for example, 1204000 + ... + 1214390.

It is an arithmetic number, because the mean of its divisors is an integer number (256734360).

Almost surely, 2^12564745245 is an apocalyptic number.

12564745245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12564745245 is a deficient number, since it is larger than the sum of its proper divisors (12081753315).

12564745245 is a wasteful number, since it uses less digits than its factorization.

12564745245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10484 (or 10465 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The spelling of 12564745245 in words is "twelve billion, five hundred sixty-four million, seven hundred forty-five thousand, two hundred forty-five".