12565282464 has 720 divisors, whose sum is σ = 46718622720. Its totient is φ = 3292047360.

The previous prime is 12565282463. The next prime is 12565282507. The reversal of 12565282464 is 46428256521.

12565282464 is a `hidden beast` number, since 1 + 2 + 565 + 2 + 8 + 24 + 64 = 666.

It is a super-2 number, since 2×12565282464² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12565282463) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98939169 + ... + 98939295.

It is an arithmetic number, because the mean of its divisors is an integer number (64886976).

Almost surely, 2^12565282464 is an apocalyptic number.

12565282464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12565282464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23359311360).

12565282464 is an abundant number, since it is smaller than the sum of its proper divisors (34153340256).

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

12565282464 is a wasteful number, since it uses less digits than its factorization.

12565282464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 199 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12565282464 in words is "twelve billion, five hundred sixty-five million, two hundred eighty-two thousand, four hundred sixty-four".