12583913472 has 144 divisors (see below), whose sum is σ = 39141140220. Its totient is φ = 3871899648.

The previous prime is 12583913467. The next prime is 12583913477. The reversal of 12583913472 is 27431938521.

It is a happy number.

12583913472 is a `hidden beast` number, since 1 + 258 + 391 + 3 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12583913467) and next prime (12583913477).

It can be written as a sum of positive squares in 2 ways, for example, as 11956110336 + 627803136 = 109344^2 + 25056^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12583913477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213358 + ... + 265874.

Almost surely, 2^12583913472 is an apocalyptic number.

12583913472 is a gapful number since it is divisible by the number (12) 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 12583913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570570110).

12583913472 is an abundant number, since it is smaller than the sum of its proper divisors (26557226748).

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

12583913472 is a wasteful number, since it uses less digits than its factorization.

12583913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52558 (or 52535 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 12583913472 in words is "twelve billion, five hundred eighty-three million, nine hundred thirteen thousand, four hundred seventy-two".